Famous piece of music has depth (5)
I believe the answer is:
noted
'famous' is the definition.
('noted' can be a synonym of 'famous')
'piece of music has depth' is the wordplay.
'piece of music' becomes 'note' (I've seen this before).
'has' is a charade indicator (letters next to each other).
'depth' becomes 'd' (abbreviation in geometry).
'note'+'d'='NOTED'
(Other definitions for noted that I've seen before include "prominent" , "Scores like this" , "Widely known and esteemed" , "Remarked - famous" , "taken down" .)