Beat criminal up in Slough (8)
I believe the answer is:
punished
'beat' is the definition.
'criminal up in slough' is the wordplay.
'criminal' is an anagram indicator.
'slough' becomes 'shed' (both can mean to remove or lose).
'up'+'in'='upin'
'upin' anagrammed gives 'puni'.
'puni'+'shed'='PUNISHED'
(Other definitions for punished that I've seen before include "Treated severely" , "Chastised" , "Imposed a penalty" , "penalised" , "Disciplined" .)