Broadcast medium covering awfully chic salad vegetable (9)
I believe the answer is:
radicchio
'salad vegetable' is the definition.
(type of chicory)
'broadcast medium covering awfully chic' is the wordplay.
'broadcast medium' becomes 'radio' (I've seen this before).
'covering' is an insertion indicator.
'awfully' is an anagram indicator.
'chic' anagrammed gives 'cchi'.
'radio' enclosing 'cchi' is 'RADICCHIO'.
(Other definitions for radicchio that I've seen before include "Variety of chicory - I hid a croc (anag)" , "Salad ingredient" , "leaves bitter taste" , "Italian chicory" , "Dark-red-leaf salad plant" .)