A fine fine business (6)
I believe the answer is:
affair
'business' is the definition.
(I've seen this before)
'a fine fine' is the wordplay.
'a fine' becomes 'af' (I've seen this in other clues).
'fine' becomes 'fair' (I've seen this before).
'af'+'fair'='AFFAIR'
(Other definitions for affair that I've seen before include "Subject" , "Illicit liaison" , "Sexual liaison - concern" , "Concern (maybe extra-marital?)" , "Liaison or intrigue" .)