Broadcast medium covering awfully chic salad vegetable (9)
'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 "Salad ingredient", "leaves bitter taste", "Italian chicory", "Variety of chicory - I hid a croc (anag)", "Dark-red-leaf salad plant".)