Daughter's trailing dainty material (5)
I believe the answer is:
tweed
'material' is the definition.
(tweed is a kind of material)
'daughter's trailing dainty' is the wordplay.
'daughter' becomes 'd'.
'trailing' is a charade indicator (letters next to each other).
'dainty' becomes 'twee' ('twee' can be a synonym of 'dainty'**).
'd' after 'twee' is 'TWEED'.
(Other definitions for tweed that I've seen before include "Twilled cloth" , "Woollen material" , "Thick woollen cloth - northern river" , "passes between English and Scottish banks" , "Sort of jacket" .)