Author sounds more correct (6)
I believe the answer is:
writer
'author' is the definition.
(I know that author can be written as writer)
'sounds more correct' is the wordplay.
'sounds' indicates a 'sounds like' (homophone) clue.
'more correct' becomes 'righter' ('right' can be a synonym of 'correct').
'righter' sounds like 'WRITER'.
(Other definitions for writer that I've seen before include "Novelist" , "See 1, 12, 15, 23 across and 3, 6, 9 down" , "Quiller" , "Author; correspondent" , "See 4" .)