Sounds correct to correspond (5)
I believe the answer is:
write
'correspond' is the definition.
(writing is a kind of corresponding)
'sounds correct' is the wordplay.
'sounds' shows a homophone (sound like).
'correct' becomes 'right' (right can mean correct).
'right' is a homophone of 'WRITE'.
'to' is the link.
(Other definitions for write that I've seen before include "Create (manuscript)" , "Compose; correspond" , "Put pen to paper" , "Compose (music)" , "Compose (a text)" .)