Facecloth gets flattery (7)
I believe the answer is:
flannel
I believe this is a double definition.
'facecloth' is the first definition.
(I've seen this before)
'flattery' is the second definition.
(thesaurus)
'gets' is the link.
(Other definitions for flannel that I've seen before include "Woven woollen fabric or flattery" , "type of fabric" , "short trousers" , "Soft, napped fabric" , "used for washing face" .)