Well known to have done wrong, being out to start trouble (5)
I believe the answer is:
noted
'well known' is the definition.
(I've seen this before)
'done wrong being out to start trouble' is the wordplay.
'wrong' indicates anagramming the letters.
'being out' indicates putting letters inside.
'to start' suggests taking the first letters.
The first letter of 'trouble' is 't'.
'done' anagrammed gives 'noed'.
'noed' enclosing 't' is 'NOTED'.
'to have' acts as a link.
(Other definitions for noted that I've seen before include "Scores like this" , "Scored" , "Gaiter; oyster spawn" , "Indicated" , "Famed" .)