diff --git a/compliance_checker/tests/test_cf.py b/compliance_checker/tests/test_cf.py
index f0222a25..51b7dc34 100644
--- a/compliance_checker/tests/test_cf.py
+++ b/compliance_checker/tests/test_cf.py
@@ -132,6 +132,7 @@ def test_check_data_types(self):
         """
 
         # TEST CONFORMANCE 2.2 REQUIRED
+        # TODO: Check 1D char array
 
         # check default netCDF data types
         dataset = self.load_dataset(STATIC_FILES["rutgers"])
@@ -366,7 +367,7 @@ def test_check_conventions_are_cf_16(self):
         §2.6.1 the NUG defined global attribute Conventions to the string value
         "CF-1.6"
         """
-        # CONFORMANCE 2.6.1 REQUIRED
+        # TEST CONFORMANCE 2.6.1 REQUIRED
         # Note: conformance doc for 1.6 mentions CF-1.5
         # :Conventions = "CF-1.6"
         dataset = self.load_dataset(STATIC_FILES["rutgers"])
@@ -479,6 +480,7 @@ def test_check_standard_name(self):
 
         dataset = MockTimeSeries()
         temperature = dataset.createVariable("temperature", "f8", ("time",))
+        temperature.standard_name = "sea_water_temperature"
         temperature.ancillary_variables = "temperature_flag"
 
         temperature_flag = dataset.createVariable("temperature_flag", "i2", ("time",))
@@ -492,6 +494,13 @@ def test_check_standard_name(self):
         temperature_flag.units = "1"
         _, _, messages = get_results(self.cf.check_standard_name(dataset))
 
+        # TEST CONFORMANCE 3 RECOMMENDED
+        # long_name or standard_name present
+        del temperature.standard_name
+        _, _, messages = get_results(self.cf.check_standard_name(dataset))
+        assert ("Attribute long_name or/and standard_name is highly "
+                "recommended for variable temperature" in messages)
+
     def test_cell_bounds(self):
         dataset = self.load_dataset(STATIC_FILES["grid-boundaries"])
         results = self.cf.check_cell_boundaries(dataset)