Cover song with verse in the middle (5)
I believe the answer is:
duvet
'cover' is the definition.
(a duvet is a bed cover)
'song with verse in the middle' is the wordplay.
'song with' becomes 'duet' (I can't explain this - if you can you should give a lot more credence to this answer).
'verse' becomes 'v'.
'in the middle' indicates putting letters inside.
'duet' enclosing 'v' is 'DUVET'.
(Other definitions for duvet that I've seen before include "Warm covering for bed" , "Continental quilt" , "Type of quilt" , "Thick soft quilt instead of bedclothes" , "Eiderdown" .)