Shame on getting into argument (9)
I believe the answer is:
disrepute
'shame' is the definition.
(thesaurus)
'getting into argument' is the wordplay.
'getting' becomes 're' (I've seen this in other clues).
'into' indicates putting letters inside.
'argument' becomes 'dispute' (I've seen this before).
're' put into 'dispute' is 'DISREPUTE'.
'on' acts as a link.
(Other definitions for disrepute that I've seen before include "Ignominy" , "Ill fame" , "State of being held in low public esteem" , "get a bad name" .)