Argument Killer, created by digital agency Devilfish and social media agency Verbie, provides a stream of clever comebacks on any subject the user types in.
Users are encouraged to memorize the putdowns and use them when they find themselves in an argument.
Carl-Johan Grund, managing director for Verbie, said: "With the Argument Killer application, we show how UKTV can use Facebook to drive viewing numbers and boost audience engagement.
"In this case, the application empowers the programme 'Argumental' with a relevant, interactive tool that emerges from the heart of the show, connecting audience members with the actual experience awaiting when they watch the programme."
Dave's new show 'Argumental' is broadcast on Mondays at 9.40pm.
Matt Cole, creative director at devilfish, said: "Having delivered the exciting new Dave site for UKTV, the Argument Killer application is the icing on the cake, which allows us to showcase the tone and level of witty interactivity that can be brought to life for users.
"Be careful though, it's kind of addictive."