Make cuts in the music (5)
I believe the answer is:
score
This clue could be a double definition.
'make' is the first definition.
(I know that make is a more specific form of the action persuade)
'cuts in the music' is the second definition.
'score' can be an answer for 'music' (score is a kind of music). I'm not certain of the 'cuts in the' bit.
Can you help me to learn more?
(Other definitions for score that I've seen before include "Tally; group of twenty" , "Nick; twenty" , "musical work" , "Result" , "Orchestrate; twenty" .)