Local name brings musical back (6)
I believe the answer is:
native
'local' is the definition.
(similar in meaning)
'name brings musical back' is the wordplay.
'name' becomes 'Nat'.
'brings musical back' becomes 'ive' (I can't justify this - if you can you should give a lot more credence to this answer).
'nat'+'ive'='NATIVE'
Can you help me to learn more?
(Other definitions for native that I've seen before include "Resident" , "One locally born" , "In a natural state" , "Belonging to a particular place by birth" , "One born in a certain place" .)