Hint about one's home cooking (7)
I believe the answer is:
cuisine
'cooking' is the definition.
('cuisine' can be a synonym of 'cooking')
'hint about one's home' is the wordplay.
'hint' becomes 'cue' (I've seen this before**).
'about' is an insertion indicator.
'one's' becomes 'is' (roman numeral).
'home' becomes 'in' ('he's home' can mean 'he's in').
'is'+'in'='isin'
'cue' enclosing 'isin' is 'CUISINE'.
(Other definitions for cuisine that I've seen before include "(Regional) style of cooking" , "Local cooking style" , "Culinary art" , "The food" , "It can be French, Italian or Spanish in a restaurant and tasty" .)