Woo with a tune (8)
I believe the answer is:
serenade
'woo with a tune' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for serenade that I've seen before include "Song of romance" , "Suitor's song" , "composition" , "Song to a lover" , "Sing to (lover)" .)