Game progress will halt if you open a new tab in the same window, or minimize the game. Best to leave the game open in a separate window when doing other things on internet. + so everyone else can see this.
There is only one issue I have with this game and its previous incarnation: I cannot control my teammates. If I had the ability to control the other members of the team I could be easily 100% more combat effecient. Either that or allow me to attack another enemy when a teammate kills the one I targeted with my attack. Again, my only real issue and it is a small one.