Giflist is a client for reddit that will endlessly stream GIFs from any subreddit that predominantly contains GIFs.
By default it uses the popular gifs subreddit, but you can change this to whatever you like, e.g: perfectloops, me_irl, chemicalreactionsgifs and so on.
To play a GIF, just tap it. To view the original submission for any GIF, just tap the title section and it will open in reddit. You can configure the settings to your liking for an experience that best suits you.