We can't dig outside since we live in an appartment, but I'm sure if we would, Casper and Kitty would do much more than supervice...

They do keep us an eye when we do things, for example when I'm cooking, Casper is always in the kitchen with me, making sure I do everything correct. They watch me brushing my teeth, doing dishes, cleaning (except vacuuming, then they dissapear FAST! ) and in the good old days when we allowed them to sleep with us (now they sleep in the bathroom, and love it!) they actually watched us sleeping! Now that was annoying, Kitty woke me up few times by staring at me...