Do u turn off a wireless mouse?
Most wireless mice have a sleep mode built in and after a few mins the goto sleep. Now i have seen a few mice with charging stations that you have to put the mouse on to charge the mouse and it has a power button on the bottom of the mouse, but if you dont see one it will be fine give the mouse 15-20 mins to goto sleep mode should be shorter than that but who knows there are no settings for it. If it bothers you pull the batteries when your done and put them back in when you goto use it again.