Piece of music composed enthrals a daughter (8)
I believe the answer is:
serenade
'piece of music' is the definition.
(serenade is a kind of piece of music)
'composed enthrals a daughter' is the wordplay.
'composed' becomes 'serene' (I've seen this before).
'enthrals' indicates putting letters inside.
'a daughter' becomes 'ad' (I've seen this in other clues).
'serene' going around 'ad' is 'SERENADE'.
(Other definitions for serenade that I've seen before include "Play music, sing for someone" , "Music played by lover" , "piece of romantic music" , "Lover's song" , "Evening music (played outside woman's house)" .)