Green’s Dictionary of Slang

put-down n.

a verbal attack, criticism, condemnation.

1958		J.C. Holmes Horn 215: Anyone makes a hassle this next set, I’ll show ’em put-downs if that’s all they’re after.
1969		N. Cohn Awopbop. (1970) 129: He was loud and brutally funny, his put-downs could kill.
1977		C. McFadden Serial 16: Both of whom had become [...] hypersensitive to ‘anti-feminist put-downs’.
1988		A. Hollinghurst Swimming-Pool Library (1998) 172: What to say, what was the snappy putdown?
1999		K. Sampson Powder 13: Tended not to swear, Wheezer, erred towards quaint Monty Pythonisms and silly grammar school putdowns.
2000		Indep. on Sun. Real Life 23 Jan. 9: Be wary of trying to think up snappy put-downs in advance.
2017		V. McDermid Insidious Intent (2018) 122: All the years of knock-backs and put-downs.

In compounds

put-down artist (n.)

a practitioner of barbed wit.

1970		D. Jenkins Dogged Victims 135: He has a rare sense of humor that makes him one of the superb put-down artists of his time.
2006		J. Ridley What Fire Cannot Burn 34: Call it a sense of humor sharp as a brand-new knife. He could’ve been a put-down artist.