Broadcaster holding terribly chic Italian chicory (9)
I believe the answer is:
radicchio
'italian chicory' is the definition.
(I've seen this before)
'broadcaster holding terribly chic' is the wordplay.
'broadcaster' becomes 'radio' (I've seen this before).
'holding' means one lot of letters goes inside another.
'terribly' indicates anagramming the letters.
'chic' is an anagram of 'icch'.
'radio' enclosing 'icch' is 'RADICCHIO'.
(Other definitions for radicchio that I've seen before include "Salad ingredient" , "Italian chicory" , "Variety of chicory - I hid a croc (anag)" , "Dark-red-leaf salad plant" , "leaves bitter taste" .)