Banquet's starter brought up, cooked (7)
I believe the answer is:
braised
'cooked' is the definition.
(braising is a kind of cooking)
'banquet's starter brought up' is the wordplay.
'starter' suggests taking the first letters.
'brought up' becomes 'raised' ('raise' can be a synonym of 'bring up').
The first letter of 'banquets' is 'b'.
'b'+'raised'='BRAISED'
(Other definitions for braised that I've seen before include "Fried then slowly stewed" , "Stewed in closed pot" .)