diff --git a/cf/data/data.py b/cf/data/data.py
index c3d0cd1449..94f3d7ecf1 100644
--- a/cf/data/data.py
+++ b/cf/data/data.py
@@ -30,14 +30,14 @@
     _numpy_isclose,
     _section,
     abspath,
+    atol,
+    default_netCDF_fillvals,
+    fm_threshold,
+    free_memory,
+    log_level,
+    parse_indices,
+    rtol,
 )
-from ..functions import atol as cf_atol
-from ..functions import default_netCDF_fillvals
-from ..functions import fm_threshold as cf_fm_threshold
-from ..functions import free_memory
-from ..functions import inspect as cf_inspect
-from ..functions import log_level, parse_indices
-from ..functions import rtol as cf_rtol
 from ..mixin_container import Container
 from ..units import Units
 from . import FileArray
@@ -667,14 +667,16 @@ def __contains__(self, value):
         return bool(dx.any())
 
     @property
+    @daskified(_DASKIFIED_VERBOSE)
     def _atol(self):
-        """Return the current value of the `atol` function."""
-        return cf_atol().value
+        """Return the current value of the `cf.atol` function."""
+        return atol().value
 
     @property
+    @daskified(_DASKIFIED_VERBOSE)
     def _rtol(self):
-        """Return the current value of the `rtol` function."""
-        return cf_rtol().value
+        """Return the current value of the `cf.rtol` function."""
+        return rtol().value
 
     def _is_abstract_Array_subclass(self, array):
         """Whether or not an array is a type of abstract Array.
@@ -690,6 +692,7 @@ def _is_abstract_Array_subclass(self, array):
         """
         return isinstance(array, cfdm.Array)
 
+    @daskified(_DASKIFIED_VERBOSE)
     def __data__(self):
         """Returns a new reference to self."""
         return self
@@ -9574,7 +9577,9 @@ def inspect(self):
             `None`
 
         """
-        print(cf_inspect(self))  # pragma: no cover
+        from ..functions import inspect
+
+        print(inspect(self))  # pragma: no cover
 
     def isclose(self, y, rtol=None, atol=None):
         """Return where data are element-wise equal to other,
@@ -10146,7 +10151,7 @@ def fits_in_memory(self, itemsize):
         # Note that self._size*(itemsize+1) is the array size in bytes
         # including space for a full boolean mask
         # ------------------------------------------------------------
-        return self.size * (itemsize + 1) <= free_memory() - cf_fm_threshold()
+        return self.size * (itemsize + 1) <= free_memory() - fm_threshold()
 
     @_deprecated_kwarg_check("i")
     @_inplace_enabled(default=False)
diff --git a/cf/test/test_Data.py b/cf/test/test_Data.py
index 0f22111145..d346b12e51 100644
--- a/cf/test/test_Data.py
+++ b/cf/test/test_Data.py
@@ -3845,6 +3845,18 @@ def test_Data_override_calendar(self):
 
         self.assertIsNone(d.override_calendar("all_leap", inplace=True))
 
+    def test_Data_atol(self):
+        d = cf.Data(1)
+        self.assertEqual(d._atol, cf.atol())
+        cf.atol(0.001)
+        self.assertEqual(d._atol, 0.001)
+
+    def test_Data_rtol(self):
+        d = cf.Data(1)
+        self.assertEqual(d._rtol, cf.rtol())
+        cf.rtol(0.001)
+        self.assertEqual(d._rtol, 0.001)
+
 
 if __name__ == "__main__":
     print("Run date:", datetime.datetime.now())