A chap at home visiting artist in the country (9)
I believe the answer is:
argentina
'country' is the definition.
(Argentina is an example)
'a chap at home visiting artist' is the wordplay.
'chap' becomes 'gent' (I've seen this in other clues).
'at home' becomes 'in' (similar in meaning).
'visiting' is an insertion indicator.
'artist' becomes 'ra' (Royal Academician, member of Royal Academy of Arts).
'gent'+'in'='gentin'
'gentin' going into 'ra' is 'rgentina'.
'a'+'rgentina'='ARGENTINA'
'in the' is the link.
(Other definitions for argentina that I've seen before include "FIFA World Cup winners in 1978 and 1986" , "Ta, Grannie, for the odd country" , "state" , "Evita's country" , "South American country" .)