Season failing to start for Bury (5)
I believe the answer is:
inter
'bury' is the definition.
(synonyms)
'season failing to start' is the wordplay.
'season' becomes 'winter' (winter is a season).
'failing to start' means to remove the first letter.
'winter' with its initial letter taken away is 'INTER'.
'for' acts as a link.
(Other definitions for inter that I've seen before include "foreign footballers" , "team from Italy" , "Entomb" , "Place in ground" , "Milan FC" .)