Craftsman’s painting is given a name (7)
I believe the answer is:
artisan
'craftsman's' is the definition.
(synonyms)
'painting is given a name' is the wordplay.
'painting' becomes 'art' (painting is an art).
'given' is a charade indicator (letters next to each other).
'name' becomes 'n' (common abbreviation e.g. on forms).
'art'+'is'+'a'+'n'='ARTISAN'
(Other definitions for artisan that I've seen before include "crafty person?" , "Skilled manual 17" , "Skilled workman" , "Journeyman" , "Smith" .)