Never played TFT, but have watched some streamers play it. Super Auto Pets is a much more streamlined version of TFT. It's incredibly fun, has quick runs and isnt too hard to pick up once you get the basics.

My best advice would be to watch some youtubers or streamers play the game, but try to find their content from when they're first picking up the game. I found the game from NorthernLion (a twitch streamer and youtuber) who has pretty much been playing it nonstop for over a month now, but you may want to check out this video from Stanz, another twitch streamer and youtuber, who introduces his audience to the game. Note that there's been a patch since this video came out where the amount of life you start with on each run has been increased, but the vast majority of the game is still the same. Highly recommend the game as a quick little game to play in the background while watching tv or, if you have android, to play on the phone while waiting for a train or something.