more exquisite (5)
I believe the answer is:
finer
'more exquisite' is the definition.
('fine' can be a synonym of 'exquisite')
This is the entire clue.
(Other definitions for finer that I've seen before include "Better quality" , "Better; more slender" , "magistrate?" , "'Nothing could be . . . . . than to be in Carolina, in the morning' (popular song)" , "Of higher quality" .)