Copied from drape design (4)
I believe the answer is:
aped
'copied' is the definition.
('ape' can be a synonym of 'copy')
'from drape design' is the wordplay.
'from' indicates a hidden word.
'APED' is hidden in the letters of 'drape design'.
(Other definitions for aped that I've seen before include "Imitated like primate" , "took off" , "Imitated, mimicked" , "Followed" , "Imitated like monkey" .)