Drunk beginning to braise game (6)
I believe the answer is:
blotto
'drunk' is the definition.
(thesaurus)
'beginning to braise game' is the wordplay.
'beginning to' suggests taking the first letters.
'game' becomes 'lotto' (lotto is a kind of game).
The first letter of 'braise' is 'b'.
'b'+'lotto'='BLOTTO'
(Other definitions for blotto that I've seen before include "Extremely drunk" , "Unconscious from drink" , "Slangily drunk - ready to bolt" , "Boot Lt. out for being drunk" , "Helplessly drunk (slang)" .)