Wholesome to follow the progress of accompanying music (10)
I believe the answer is:
soundtrack
'accompanying music' is the definition.
'wholesome to follow the progress of' is the wordplay.
'wholesome' becomes 'sound' ('sound' is associated in meaning with 'wholesome').
'to follow the progress of' becomes 'track'.
'sound'+'track'='SOUNDTRACK'
(Other definitions for soundtrack that I've seen before include "Film's audio content" , "Audio recording of a film" , "film music" .)