Fabric persona non grata's getting time after time (7)
I believe the answer is:
textile
'fabric' is the definition.
(synonyms)
I don't understand how the remainder of the clue works.
(Other definitions for textile that I've seen before include "Woven material" , "Woven cloth" , "'Fabric, material (7)'" , "Cloth made by weaving or knitting" , "Cloth, fabric, material" .)