In general, bid higher without clubs (7)
I believe the answer is:
overall
'in general' is the definition.
(thesaurus)
'bid higher without clubs' is the wordplay.
'bid higher' becomes 'overcall' (to make a higher bid in the game bridge).
'without' is a deletion indicator.
'clubs' becomes 'c' (abbreviation used in card games such as bridge).
'overcall' with 'c' removed is 'OVERALL'.
(Other definitions for overall that I've seen before include "Supreme - general - protective garment" , "protector" , "it protects clothes" , "All round" , "Inclusive" .)