Daughter's after dainty fabric (5)
I believe the answer is:
tweed
'fabric' is the definition.
(tweed is a kind of fabric)
'daughter's after dainty' is the wordplay.
'daughter' becomes 'd'.
'after' means one lot of letters go next to another.
'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 "rough stuff" , "Thick woolen fabric" , "Sort of jacket" , "Material; river" , "Thick woollen fabric from Scotland" .)