diff --git a/apps/gust_web/assets/css/app.css b/apps/gust_web/assets/css/app.css
index eaa45b6..fa7a564 100644
--- a/apps/gust_web/assets/css/app.css
+++ b/apps/gust_web/assets/css/app.css
@@ -419,6 +419,55 @@
   .run-status__filter-form {
     @apply flex h-8 shrink-0 items-center [&_.fieldset]:mb-0 [&_.fieldset]:h-8;
   }
+
+  .task-status-progress {
+    @apply h-1.5 w-full overflow-hidden;
+  }
+
+  .task-status-progress__bar {
+    @apply h-full w-full;
+  }
+
+  .status-running,
+  .task-grid-cell--running {
+    background-image: repeating-linear-gradient(
+      135deg,
+      var(--color-sky-600) 0,
+      var(--color-sky-600) 0.75rem,
+      var(--color-sky-300) 0.75rem,
+      var(--color-sky-300) 1.5rem
+    );
+    background-size: 2.125rem 2.125rem;
+    animation: task-running-stripes 0.8s linear infinite;
+  }
+
+  .status-retrying,
+  .task-grid-cell--retrying {
+    background-image: repeating-linear-gradient(
+      135deg,
+      var(--color-amber-600) 0,
+      var(--color-amber-600) 0.75rem,
+      var(--color-amber-300) 0.75rem,
+      var(--color-amber-300) 1.5rem
+    );
+    background-size: 2.125rem 2.125rem;
+    animation: task-running-stripes 0.8s linear infinite;
+  }
+}
+
+@keyframes task-running-stripes {
+  to {
+    background-position: 2.125rem 0;
+  }
+}
+
+@media (prefers-reduced-motion: reduce) {
+  .status-running,
+   .status-retrying,
+   .task-grid-cell--running,
+   .task-grid-cell--retrying {
+    animation: none;
+  }
 }
 
 @layer components {
diff --git a/apps/gust_web/lib/gust_web/components/dag_run_components.ex b/apps/gust_web/lib/gust_web/components/dag_run_components.ex
index 190cf9d..29e418e 100644
--- a/apps/gust_web/lib/gust_web/components/dag_run_components.ex
+++ b/apps/gust_web/lib/gust_web/components/dag_run_components.ex
@@ -51,23 +51,18 @@ defmodule GustWeb.DagRunComponents do
 
   attr :id, :string, required: true
   attr :selected, :boolean, default: false
-  attr :status, :atom
+  attr :status, :atom, default: nil
 
   def task_cell(assigns) do
-    assigns =
-      assign_new(assigns, :classes, fn ->
-        base_classes =
-          if assigns[:status], do: ["status-#{assigns[:status]}", "active"], else: ["status-none"]
-
-        classes = base_classes ++ if assigns[:selected], do: ["selected"], else: []
-
-        Enum.join(classes, " ")
-      end)
-
     ~H"""
     <div
       id={"#{@id}"}
-      class={"task-grid-cell  border rounded #{@classes}"}
+      class={[
+        "task-grid-cell border rounded",
+        if(@status, do: "status-#{@status} active", else: "status-none"),
+        @selected && "selected",
+        @status && "task-grid-cell--#{@status}"
+      ]}
     >
     </div>
     """
diff --git a/apps/gust_web/lib/gust_web/live/dag_live/dashboard.html.heex b/apps/gust_web/lib/gust_web/live/dag_live/dashboard.html.heex
index 6e57fec..de4728c 100644
--- a/apps/gust_web/lib/gust_web/live/dag_live/dashboard.html.heex
+++ b/apps/gust_web/lib/gust_web/live/dag_live/dashboard.html.heex
@@ -168,6 +168,17 @@
       </div>
     </section>
 
+    <div
+      :if={@item_status}
+      id="task-status-progress"
+      class={["task-status-progress", "status-#{@item_status}"]}
+      role="progressbar"
+      aria-label={"Status: #{@item_status}"}
+      aria-valuetext={to_string(@item_status)}
+    >
+      <div class="task-status-progress__bar"></div>
+    </div>
+
     <section class="dag-card__meta">
       <div :if={@item_inserted_at} class="dag-card__meta-item">
         <div class="dag-card__meta-label">Started</div>
@@ -195,7 +206,10 @@
       </div>
     </section>
 
-    <section :if={@item_error && map_size(@item_error) > 0} class="dag-card__body">
+    <section
+      :if={@item_error && map_size(@item_error) > 0 && @item_status != :running}
+      class="dag-card__body"
+    >
       <div
         id="task-error"
         role="alert"
diff --git a/apps/gust_web/test/gust_web/components/dag_run_components_test.exs b/apps/gust_web/test/gust_web/components/dag_run_components_test.exs
index 4227fa4..19a2ad0 100644
--- a/apps/gust_web/test/gust_web/components/dag_run_components_test.exs
+++ b/apps/gust_web/test/gust_web/components/dag_run_components_test.exs
@@ -120,7 +120,7 @@ defmodule GustWeb.DagRunComponentsTest do
       assert [_cell] =
                LazyHTML.query(
                  document,
-                 "#load_data-at-run-42.task-grid-cell.status-running.active.selected"
+                 "#load_data-at-run-42.task-grid-cell.status-running.active.selected.task-grid-cell--running"
                )
                |> LazyHTML.to_tree()
     end
diff --git a/apps/gust_web/test/gust_web/live/dag_live_dashboard_test.exs b/apps/gust_web/test/gust_web/live/dag_live_dashboard_test.exs
index edd5c95..67a5d6b 100644
--- a/apps/gust_web/test/gust_web/live/dag_live_dashboard_test.exs
+++ b/apps/gust_web/test/gust_web/live/dag_live_dashboard_test.exs
@@ -404,6 +404,60 @@ defmodule GustWeb.DagLiveDashboardTest do
       refute has_element?(dashboard_live, "#task-error-stacktrace")
     end
 
+    test "does not display a persisted task error while the task is running", %{
+      conn: conn,
+      dag: dag,
+      run: run,
+      task: task
+    } do
+      error = %{
+        type: "RuntimeError",
+        value: "running-task",
+        message: "stale error"
+      }
+
+      {:ok, task} = Flows.update_task_error(task, error)
+      {:ok, _task} = Flows.update_task_status(task, :running)
+
+      {:ok, dashboard_live, _html} =
+        live(conn, ~g"/dags/#{dag.name}/dashboard?run_id=#{run.id}&task_name=#{task.name}")
+
+      refute has_element?(dashboard_live, "#task-error")
+
+      assert has_element?(
+               dashboard_live,
+               "#task-status-progress[role='progressbar']"
+             )
+
+      assert has_element?(dashboard_live, "#task-status-progress .task-status-progress__bar")
+    end
+
+    test "hides a displayed task error when the task starts running", %{
+      conn: conn,
+      dag: dag,
+      run: run,
+      task: task
+    } do
+      error = %{
+        type: "RuntimeError",
+        value: "starting-task",
+        message: "previous attempt failed"
+      }
+
+      {:ok, task} = Flows.update_task_error(task, error)
+
+      {:ok, dashboard_live, _html} =
+        live(conn, ~g"/dags/#{dag.name}/dashboard?run_id=#{run.id}&task_name=#{task.name}")
+
+      assert has_element?(dashboard_live, "#task-error")
+
+      {:ok, _task} = Flows.update_task_status(task, :running)
+      Gust.PubSub.broadcast_run_status(run.id, :running, task.id)
+
+      refute has_element?(dashboard_live, "#task-error")
+      assert has_element?(dashboard_live, "#task-status-progress")
+    end
+
     test "display task error stacktrace", %{
       conn: conn,
       dag: dag,
@@ -464,6 +518,12 @@ defmodule GustWeb.DagLiveDashboardTest do
         live(conn, ~g"/dags/#{dag.name}/dashboard?run_id=#{run.id}")
 
       assert mermaid_source(dashboard_live) =~ "class #{task.name} status-running"
+
+      assert has_element?(
+               dashboard_live,
+               "##{task.name}-at-run-#{run.id}.task-grid-cell--running"
+             )
+
       refute mermaid_source(dashboard_live) =~ "selected-task"
 
       {:ok, _task} = Flows.update_task_status(task, :succeeded)
@@ -471,6 +531,11 @@ defmodule GustWeb.DagLiveDashboardTest do
 
       assert mermaid_source(dashboard_live) =~ "class #{task.name} status-succeeded"
       refute mermaid_source(dashboard_live) =~ "class #{task.name} status-running"
+
+      refute has_element?(
+               dashboard_live,
+               "##{task.name}-at-run-#{run.id}.task-grid-cell--running"
+             )
     end
 
     test "marks the selected task on the mermaid graph", %{
@@ -522,11 +587,21 @@ defmodule GustWeb.DagLiveDashboardTest do
       {:ok, _task} = Gust.Flows.update_task_status(task, :running)
       {:ok, dashboard_live, _html} = live(conn, ~g"/dags/#{dag.name}/dashboard")
 
+      assert has_element?(
+               dashboard_live,
+               "#run-status-cell-#{run.id}.task-grid-cell--running"
+             )
+
       Flows.update_run_status(run, :succeeded)
 
       Gust.PubSub.broadcast_run_status(run.id, :succeeded)
 
       assert has_element?(dashboard_live, "#run-status-cell-#{run.id}.status-succeeded")
+
+      refute has_element?(
+               dashboard_live,
+               "#run-status-cell-#{run.id}.task-grid-cell--running"
+             )
     end
 
     test "selected run details are reloaded when its status changes", %{
diff --git a/apps/gust_web/test/gust_web/live/run_live_test.exs b/apps/gust_web/test/gust_web/live/run_live_test.exs
index 48f420d..be97a4f 100644
--- a/apps/gust_web/test/gust_web/live/run_live_test.exs
+++ b/apps/gust_web/test/gust_web/live/run_live_test.exs
@@ -214,19 +214,24 @@ defmodule GustWeb.RunLiveTest do
       refute has_element?(index_live, "#runs-#{newer_match.id}")
     end
 
-    test "list runs paged", %{conn: conn, dag: dag, run: _first_run} do
+    test "list runs paged", %{conn: conn, dag: dag, run: first_run} do
       page_size = 3
+      now = DateTime.utc_now() |> DateTime.truncate(:second)
+
+      run_fixture(%{dag_id: dag.id, inserted_at: DateTime.add(now, 60)})
 
-      run_fixture(%{dag_id: dag.id})
-      prev_page_run = run_fixture(%{dag_id: dag.id})
+      prev_page_run =
+        run_fixture(%{dag_id: dag.id, inserted_at: DateTime.add(now, 120)})
 
-      current_page_run = run_fixture(%{dag_id: dag.id})
+      current_page_run =
+        run_fixture(%{dag_id: dag.id, inserted_at: DateTime.add(now, 180)})
 
       {:ok, index_live, _html} =
         live(conn, ~g"/dags/#{dag.name}/runs?page_size=#{page_size}&page=2")
 
-      assert index_live |> has_element?("#runs-#{current_page_run.id}")
+      assert index_live |> has_element?("#runs-#{first_run.id}")
       refute index_live |> has_element?("#runs-#{prev_page_run.id}")
+      refute index_live |> has_element?("#runs-#{current_page_run.id}")
 
       assert index_live |> has_element?("#runs-table-container + #runs-pagination")
       assert index_live |> has_element?("#run-page-2.btn-active[aria-current='page']")