Offer lion fresh meat (10)
I believe the answer is:
tenderloin
'meat' is the definition.
(tenderloin is a kind of meat)
'offer lion fresh' is the wordplay.
'offer' becomes 'tender' (tender can mean to offer something).
'fresh' indicates anagramming the letters (a fresh re-ordering of the letters).
'lion' with letters rearranged gives 'loin'.
'tender'+'loin'='TENDERLOIN'
(Other definitions for tenderloin that I've seen before include "Prime cut of pork, etc" , "Joint" , "best cut" , "seedy area of New York" , "Fine cut of meat" .)