Chap home after market (6)
I believe the answer is:
martin
'chap' is the definition.
'home after market' is the wordplay.
'home' becomes 'in' (to be in is to be (at) home).
'after' is a charade indicator (letters next to each other).
'market' becomes 'mart' (synonyms).
'in' after 'mart' is 'MARTIN'.
(Other definitions for martin that I've seen before include "Male name, bird" , "25 across [CRANE]" , "Perhaps Dean" , "Variety of swallow" , "Antrim (anag)" .)