A US city — whichever one (3)
I believe the answer is:
any
'whichever one' is the definition.
(I've seen this in another clue)
'a us city' is the wordplay.
'us city' becomes 'NY' (short for New York).
'a'+'ny'='ANY'
(Other definitions for any that I've seen before include "A lot < ? Not a lot < -- some" , "At all; in some degree" , "Some; none in particular" , "Several" , "'Whatever'" .)