Unrefined piece of primitive art hyped (6)
I believe the answer is:
earthy
'unrefined' is the definition.
(thesaurus)
'of primitive art hyped' is the wordplay.
'of' says the answer is hidden in the clue.
'EARTHY' is hidden within 'primitive art hyped'.
'piece' is the link.
(Other definitions for earthy that I've seen before include "Blue" , "Natural" , "Crudely uninhibited" , "Coarse like the soil" , "Task involving short journey" .)