Fantastic draper at back in charge of material (6)
I believe the answer is:
fabric
'back in charge of material' is the definition.
'fabric' can be an answer for 'material' (synonyms). I am not certain of the 'back in charge of' bit.
'fantastic draper' is the wordplay.
'fantastic' becomes 'fab'.
'draper' becomes 'ric' (I can't justify this - if you can you should believe this answer much more).
'fab'+'ric'='FABRIC'
'at' is the link.
Can you help me to learn more?
(Other definitions for fabric that I've seen before include "Cotton or tweed, say" , "Material in general" , "Manufactured cloth" , "Knitted or woven fabric" , "(Texture of) cloth" .)