Song composed to win lady's heart (8)
I believe the answer is:
serenade
'song' is the definition.
(I've seen this before)
'composed to win lady's heart' is the wordplay.
'composed' becomes 'serene' (I've seen this before).
'to win' indicates putting letters inside.
'heart' says to take the centre.
The centre of 'lady' is 'ad'.
'serene' placed around 'ad' is 'SERENADE'.
(Other definitions for serenade that I've seen before include "Piece of music for lovers at night" , "Song to a lover" , "Evening music (played outside woman's house)" , "Evening love song" , "Lover's song" .)