Material in drawer Conservative ignored (5)
I believe the answer is:
rayon
'material' is the definition.
(I know that Rayon is a fibre)
'drawer conservative ignored' is the wordplay.
'drawer' becomes 'crayon' (something which draws).
'conservative' becomes 'C' (UK political abbreviation).
'ignored' suggests deleting specific letters.
'crayon' with 'c' removed is 'RAYON'.
'in' acts as a link.
(Other definitions for rayon that I've seen before include "Or any (anag) -- fibre" , "Viscose fabric" , "Cellulose fabric" , "Viscose fibre" , "Artificial material" .)