Is able to thank double for the music (7)
I believe the answer is:
cantata
'music' is the definition.
(cantata is a kind of music)
'is able to thank double' is the wordplay.
'is able to' becomes 'can' (if you can do something you are able to do it).
'thank double' becomes 'tata' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'can'+'tata'='CANTATA'
'for the' is the link.
Can you help me to learn more?
(Other definitions for cantata that I've seen before include "Musical piece" , "Choral item" , "Vocal composition" , "Vocal work, maybe by Bach" , "Vocal-orchestral piece" .)