Fabric, cut in back, put on view (6)
I believe the answer is:
mohair
'fabric' is the definition.
(mohair is a kind of fabric)
'cut in back put on view' is the wordplay.
'cut' means to remove the last letter.
'in' becomes 'home' ('he's in' can mean 'he's home').
'back' says the letters should be written in reverse.
'put on view' becomes 'air' (I've seen this in another clue).
'home' with its final letter taken away is 'hom'.
'hom' back-to-front is 'moh'.
'moh'+'air'='MOHAIR'
(Other definitions for mohair that I've seen before include "Fabric made from fine silky wool of goat" , "Cloth made from wool of angora goat" , "Fine silky coat of angora goat" , "Fabric from coating of angora goat" , "Fabric made from Angora goat wool" .)