That would be the last super power I would want. Think of all the things you can't do if you're invisible. You can't go out on dates; you can't go to your favourite restaurant and order a slap-up meal; you can't even cross the road without risking being run over.
I suppose it might be all right if you had a switch that lets your turn your visibility on and off at will. But what if you were like Griffin in H. G. Wells' story? You'd have to go about wearing long sleeves and gloves all the time - even in swealtering weather - and you'd have to keep your face wrapped in bandages. No, it doesn't sound like an ideal super power to me.