Finished part of a love rhapsody (4)
I believe the answer is:
over
'finished' is the definition.
(over can mean finished or ended)
'part of a love rhapsody' is the wordplay.
'part of' indicates a hidden word.
'OVER' is hidden within 'love rhapsody'.
(Other definitions for over that I've seen before include "Finished like round of bowling in cricket" , "In the sky?" , "Division of play in cricket" , "Finished, concluded" , "Finished-up -left" .)