Consumed pork pie provided by head of radio studio (7)
I believe the answer is:
atelier
'studio' is the definition.
(atelier is a kind of studio)
'consumed pork pie provided by head of radio' is the wordplay.
'consumed' becomes 'ate' (eating is a kind of consuming).
'pork pie' becomes 'lie' (I've seen this in other clues).
'provided by' means one lot of letters go next to another.
'head of' says to take the initial letters.
The initial letter of 'radio' is 'r'.
'ate'+'lie'+'r'='ATELIER'
(Other definitions for atelier that I've seen before include "room for artist" , "Tie earl up in the artist's place" , "I relate to workshop used by artist" , "Designer's workshop" , "Artist's workshop, studio" .)