Beat by pushing endlessly around (6)
I believe the answer is:
punish
'beat' is the definition.
(I've seen this before)
'pushing endlessly around' is the wordplay.
'endlessly' means to remove the last letter.
'around' is an anagram indicator.
'pushing' with its last letter taken away is 'pushin'.
'pushin' anagrammed gives 'PUNISH'.
'by' is the link.
(Other definitions for punish that I've seen before include "Fine perhaps" , "Flog" , "Fine maybe" , "exact retribution" , "Cause to suffer for an offence" .)