diff --git a/Lib/unittest/mock.py b/Lib/unittest/mock.py
index 50e4959..a98decc 100644
--- a/Lib/unittest/mock.py
+++ b/Lib/unittest/mock.py
@@ -2462,6 +2462,12 @@
         return _Call(name=name, parent=self, from_kall=False)
 
 
+    def __getattribute__(self, attr):
+        if attr in tuple.__dict__:
+            raise AttributeError
+        return tuple.__getattribute__(self, attr)
+
+
     def count(self, /, *args, **kwargs):
         return self.__getattr__('count')(*args, **kwargs)
 
diff --git a/Lib/unittest/test/testmock/testhelpers.py b/Lib/unittest/test/testmock/testhelpers.py
index 301bca4..f3c7acb 100644
--- a/Lib/unittest/test/testmock/testhelpers.py
+++ b/Lib/unittest/test/testmock/testhelpers.py
@@ -334,6 +334,26 @@
         self.assertEqual(_Call((('bar', 'barz'),),)[0], '')
         self.assertEqual(_Call((('bar', 'barz'), {'hello': 'world'}),)[0], '')
 
+    def test_dunder_call(self):
+        m = MagicMock()
+        m().foo()['bar']()
+        self.assertEqual(
+            m.mock_calls,
+            [call(), call().foo(), call().foo().__getitem__('bar'), call().foo().__getitem__()()]
+        )
+        m = MagicMock()
+        m().foo()['bar'] = 1
+        self.assertEqual(
+            m.mock_calls,
+            [call(), call().foo(), call().foo().__setitem__('bar', 1)]
+        )
+        m = MagicMock()
+        iter(m().foo())
+        self.assertEqual(
+            m.mock_calls,
+            [call(), call().foo(), call().foo().__iter__()]
+        )
+
 
 class SpecSignatureTest(unittest.TestCase):
 
diff --git a/Misc/NEWS.d/next/Library/2019-08-28-21-40-12.bpo-37972.kP-n4L.rst b/Misc/NEWS.d/next/Library/2019-08-28-21-40-12.bpo-37972.kP-n4L.rst
new file mode 100644
index 0000000..73d9ef7
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2019-08-28-21-40-12.bpo-37972.kP-n4L.rst
@@ -0,0 +1,5 @@
+Subscripts to the `unittest.mock.call` objects now receive the same chaining mechanism as any other custom attributes, so that the following usage no longer raises a `TypeError`:
+
+    call().foo().__getitem__('bar')
+
+Patch by blhsing