Turned over big cheese in fabric (7)
I believe the answer is:
taffeta
'fabric' is the definition.
(taffeta is a kind of fabric)
'turned over big cheese' is the wordplay.
'turned over' shows that the letters should be reversed in order.
'big' becomes 'fat'.
'cheese' becomes 'feta' (I've seen this before).
'fat' written backwards gives 'taf'.
'taf'+'feta'='TAFFETA'
'in' is the link.
(Other definitions for taffeta that I've seen before include "Glossy silk material" , "it has a fine texture" , "Fabric -- a fat eft (anag)" , "Shiny silk fabric" , "Smooth, stiff fabric" .)