diff --git a/pandas/tests/extension/base/groupby.py b/pandas/tests/extension/base/groupby.py
index 339c6560d6212..3a9dbe9dfb384 100644
--- a/pandas/tests/extension/base/groupby.py
+++ b/pandas/tests/extension/base/groupby.py
@@ -56,6 +56,30 @@ def test_groupby_agg_extension(self, data_for_grouping):
         result = df.groupby("A").first()
         self.assert_frame_equal(result, expected)
 
+    def test_groupby_agg_extension_timedelta_cumsum_with_named_aggregation(self):
+        # GH#41720
+        expected = pd.DataFrame(
+            {
+                "td": {
+                    0: pd.Timedelta("0 days 01:00:00"),
+                    1: pd.Timedelta("0 days 01:15:00"),
+                    2: pd.Timedelta("0 days 01:15:00"),
+                }
+            }
+        )
+        df = pd.DataFrame(
+            {
+                "td": pd.Series(
+                    ["0 days 01:00:00", "0 days 00:15:00", "0 days 01:15:00"],
+                    dtype="timedelta64[ns]",
+                ),
+                "grps": ["a", "a", "b"],
+            }
+        )
+        gb = df.groupby("grps")
+        result = gb.agg(td=("td", "cumsum"))
+        self.assert_frame_equal(result, expected)
+
     def test_groupby_extension_no_sort(self, data_for_grouping):
         df = pd.DataFrame({"A": [1, 1, 2, 2, 3, 3, 1, 4], "B": data_for_grouping})
         result = df.groupby("B", sort=False).A.mean()