Characteristic of fine player (6)
I believe the answer is:
factor
'characteristic' is the definition.
'fine player' is the wordplay.
'fine' becomes 'f' (abbreviation).
'player' becomes 'actor' (synonyms).
'f'+'actor'='FACTOR'
'of' is the link.
(Other definitions for factor that I've seen before include "Of 15, 3 or 5" , "Piece of information or element to be taken into account" , "Reason" , "Integer that can be exactly divided into another" , "Circumstance that contributes towards a result" .)