It sounds like nothing anyone would ever want to play, but once you start it’s incredibly tough to stop. I’m talking about Clicker Heroes, an idle tapping game 148Apps enjoyed quite a bit. From the 4 star review:
Essentially, Clicker Heroes is a game that plays itself and yet you’ll find yourself checking in so often. As you keep playing, new things unlock. You’ll find yourself able to join clan and participate in multiplayer battles, but it’ll take you a while to get that far. Clicker Heroes trickle feeds such content though so you’ll soon end up under its spell.