Port — a small volume given to artist (5)
I believe the answer is:
accra
'port' is the definition.
(capital of Ghana)
'a small volume given to artist' is the wordplay.
'small volume' becomes 'cc' (cubic centimetre).
'given to' is a charade indicator (letters next to each other).
'artist' becomes 'RA' (Royal Academician, member of Royal Academy of Arts).
'a'+'cc'+'ra'='ACCRA'
(Other definitions for accra that I've seen before include "Capital city of Ghana" , "Main city of Ghana" , "foreign capital" , "Ghanaian city" , "Ghanaian capital" .)