Bring up fine record in sport (4)
I believe the answer is:
golf
'sport' is the definition.
(golf is a kind of sport)
'bring up fine record' is the wordplay.
'bring up' says the letters should be written backwards.
'fine' becomes 'f' (abbreviation).
'record' becomes 'log' (log is a kind of record).
'f'+'log'='flog'
'flog' back-to-front is 'GOLF'.
'in' is the link.
(Other definitions for golf that I've seen before include "Game played at Troon" , "a round or two?" , "Rory McIlroy's game" , "Game with clubs" , "See 24" .)