Prime piece of beef brought up to be cooked (7)
I believe the answer is:
braised
'be cooked' is the definition.
(similar in meaning)
'prime piece of beef brought up' is the wordplay.
'prime piece of' suggests taking the first letters (prime can mean the first).
'brought up' becomes 'raised' ('raise' can be a synonym of 'bring up').
The first letter of 'beef' is 'b'.
'b'+'raised'='BRAISED'
'to' acts as a link.
(Other definitions for braised that I've seen before include "Stewed in closed pot" , "Fried then slowly stewed" .)