Cut left nothing at home after offer (10)
I believe the answer is:
tenderloin
'cut' is the definition.
(I know that tenderloin is a type of cut)
'left nothing at home after offer' is the wordplay.
'left nothing' becomes 'lo' (I can't justify this - if you can you should give a lot more credence to this answer).
'at home' becomes 'in' ('I'm in' can mean 'I'm at home').
'after' is a charade indicator (letters next to each other).
'offer' becomes 'tender' (tender can mean to offer something).
'lo'+'in'='loin'
'loin' put after 'tender' is 'TENDERLOIN'.
Can you help me to learn more?
(Other definitions for tenderloin that I've seen before include "best cut" , "Joint" , "Fine cut of meat" , "soft meat" , "Prime cut of pork, etc" .)