Alright for artist to have a vegetable (4)
I believe the answer is:
okra
'a vegetable' is the definition.
(okra is a kind of vegetable)
'alright for artist' is the wordplay.
'alright' becomes 'ok' ('OK' can be a synonym of 'alright').
'for' says to put letters next to each other.
'artist' becomes 'ra' (Royal Academician, member of Royal Academy of Arts).
'ok'+'ra'='OKRA'
'to have' is the link.
(Other definitions for okra that I've seen before include "Green pods, in stews" , "Bhindi or lady's finger" , "Lady's fingers; gumbo; bhindi" , "old ladies' fingers" , "Edible seed pods" .)