Twist to the music (6)
I believe the answer is:
strain
This clue is a double definition.
'twist' is the first definition.
(I've seen this before)
'the music' is the second definition.
(strain is a kind of music)
'to' acts as a link.
(Other definitions for strain that I've seen before include "Tension - tune" , "Family; effort" , "Muscle injury - tension" , "tax" , "Tension and exertion" .)