Torn piece of music? (3)
I believe the answer is:
rag
This might be a double definition.
'torn piece' is the first definition.
'rag' can be an answer for 'piece' (I have seen 'Piece of cloth ' mean 'rag' so perhaps 'piece' could also mean 'rag'). I am unsure of the 'torn' bit.
'music?' is the second definition.
(rag is a kind of music)
'of' is the link.
(Other definitions for rag that I've seen before include "Play practical jokes on - worthless newspaper" , "Scrap of old cloth" , "Waste piece of cloth" , "Scott Joplin composition, for example" , "Cloth for wiping" .)