Closely-woven material taken to the cleaners (7)
I believe the answer is:
worsted
'taken to the cleaners' is the definition.
(I've seen this before)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for worsted that I've seen before include "Set word (anag.)" , "Beaten" , "Stuffed" , "material" , "Took to the cleaners" .)