Flag content once seen in a slideshow
I think No Sssweat comment is right in that this requires custom code.. And you should include some extra details regarding Pierre's questions.

Assuming that you want it like Tinder, I think triggering a hidden flag on each node for each swipe event could be the easiest option. Then on refresh, a views filter would hide flagged content by that user. 

This answer describes a method for doing similar. I haven't tested it myself yet but it's an accepted answer and quite recent so it should still work.

It's hard to give a more thorough answer for this without knowing more about the slideshow. And my jQuery is rudimentary at best. If this is a viable approach, post some more details and hopefully myself or another user can help with getting the event. If not, I'll remove this.