Outrageous piece of music? (3)
I believe the answer is:
rag
'music?' is the definition.
(rag is a kind of music)
'outrageous piece' is the wordplay.
'piece' indicates a hidden word.
'RAG' is hidden within 'outrageous'.
'of' is the link.
(Other definitions for rag that I've seen before include "Waste scrap of cloth" , "Piece of music" , "Piece of cloth for student's fun" , "piece Joplin would compose" , "some jazz music" .)