Limited time to cut song during album set back (7)
I believe the answer is:
partial
'set back' is the definition.
Both the answer and definition are adjectives. Maybe you can see an association between them that I can't see?
'limited time to cut song during album' is the wordplay.
'limited time' becomes 't' (abbreviation; 'limited' indicates an abbreviation).
'to cut' means one lot of letters goes inside another.
'song' becomes 'aria' (aria is a kind of song).
'during' is an insertion indicator.
'album' becomes 'pl' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
't' put inside 'aria' is 'artia'.
'artia' placed within 'pl' is 'PARTIAL'.
(Other definitions for partial that I've seen before include "Biased or unfair" , "Fragmentary" , "Not complete or whole" , "Showing favouritism" , "Not complete, or with strong liking for" .)