Songs offered by a daughter in dances (7)
I believe the answer is:
ballads
'songs' is the definition.
(ballad is a kind of song)
'a daughter in dances' is the wordplay.
'a daughter' becomes 'ad' (I've seen this in other clues).
'in' means one lot of letters goes inside another.
'dances' becomes 'balls' (ball is a kind of dance).
'ad' going into 'balls' is 'BALLADS'.
'offered by' acts as a link.
(Other definitions for ballads that I've seen before include "Soppy songs!" , "Popular songs" .)