Satisfied to clean and beat cloth (4)
I believe the answer is:
full
This clue is a double definition.
'satisfied' is the first definition.
(thesaurus)
'clean and beat cloth' is the second definition.
(full can mean to mechanically process wool)
'to' acts as a link.
(Other definitions for full that I've seen before include "Containing as much as possible" , "Complete; replete" , "Having no empty space" , "Able to eat no more" , "At capacity; rounded" .)