do people still play that game? is there a competitive league for it?
Its still really big playerbase wise and can find games fast in most ranks. There isn't in-game league if you mean that and you just have to play ranked. When it comes to esport their tier 1 league (Overwatch League) season just ended and was the final season of that league. No idea what is going to happen to its tier 1 esport, but there will likely be some sort of new system. Overwatch World Cup main event is going to start at end of this month.