Name for rich fabric — could be A, B, C, D, or E (7)
I believe the answer is:
brocade
'name for rich fabric' is the definition.
'could be a b c d or e' is the wordplay.
'could be' indicates an anagram.
'a'+'b'+'c'+'d'+'or'='abcdor'
'abcdor' anagrammed gives 'brocad'.
'brocad'+'e'='BROCADE'
(Other definitions for brocade that I've seen before include "Rich silk fabric" , "Raised woven design with gold or silver threads" , "Fabric woven with raised patterns" , "Heavy stuff" , "dress fabric" .)