Leaves set with fancy chic interior (9)

I believe the answer is:
radicchio
'leaves' is the definition.
Although both the answer and definition are nouns, they are not in the same form of the noun.
'set with fancy chic interior' is the wordplay.
'set with' becomes 'radio' (set can mean a radio set. I am not sure about the 'with' bit.).
'fancy' indicates anagramming the letters.
'interior' is an insertion indicator.
'chic' anagrammed gives 'cchi'.
'radio' placed around 'cchi' is 'RADICCHIO'.
Can you help me to learn more?
(Other definitions for radicchio that I've seen before include "Italian chicory" , "Variety of chicory - I hid a croc (anag)" , "Salad ingredient" , "leaves bitter taste" , "Dark-red-leaf salad plant" .)