Precious daughter offers material (5)
I believe the answer is:
tweed
'material' is the definition.
(tweed is a kind of material)
'precious daughter' is the wordplay.
'precious' becomes 'twee' (I've seen this before).
'daughter' becomes 'd' (genealogical abbreviation).
'twee'+'d'='TWEED'
'offers' is the link.
(Other definitions for tweed that I've seen before include "Rough woollen cloth" , "Woollen material" , "Scottish and English river" , "River on border between England and Scotland" , "Sort of jacket" .)