I would love to see someone answer this. I have long been interested in dada, but I know nothing more than could be found by doing a quick internet search.
Some of it's influence, seems (to my untrained art-brain) to be present in some of the post-situ punk aesthetics that were present in some zine and poster projects of the 60's - 90's, the surrealists (who have a good amount of overlap with the anarchist milieu, and specifically anarchist or anarchish artists like Ron Sakolsky (Oyster Catcher, etc.), James Koehline (his art has been used by CAL Press, Autonomedia, and many others), Gee Vaucher (Crass), and Bernd Langer (Kunst und Kampf), as well as maybe the collages done by Jason Rodgers (Media Junky, etc).
I bet any of them would tell me I am wrong about that influence, but I kinda see it...