What might be Granite City? (7)
I believe the answer is:
tangier
'city?' is the definition.
(city in Morocco)
'what might be granite' is the wordplay.
'what might be' is an anagram indicator.
'granite' anagrammed gives 'TANGIER'.
(Other definitions for tangier that I've seen before include "with more piquant flavour" , "Seaport of Morocco, opposite Gibraltar" , "Granite city just opposite Gibraltar" , "More pungent" , "Moroccan seaport opposite Gibraltar" .)