String attached to your new material (8)
I believe the answer is:
corduroy
'material' is the definition.
(corduroy is a kind of material)
'string attached to your new' is the wordplay.
'string' becomes 'cord' (I've seen this before).
'attached to' says to put letters next to each other.
'new' indicates anagramming the letters.
'your' with letters rearranged gives 'uroy'.
'cord'+'uroy'='CORDUROY'
(Other definitions for corduroy that I've seen before include "Heavy ribbed fabric" , "Cotton cloth with velvety ridges" , "stuff in bags" , "Velvety ribbed fabric" , "Ribbed cotton fabric" .)