Give a look at Seekins Precision, they make a set that's 0.82". I don't think you'll find a scope that will even fit on a rifle with rings lower than that, unless you're using like a 42mm objective. But I think the magnification ring will hit the rail first.
I have a set of Seekins 0.76" 1" rings on a hunting rifle with a Kahles 3.5-10x50 and it damn-near touches the rail on the front and the back. Like, you can barely fit maybe a couple sheets of paper between them... Honestly, it's too close, but they're still not touching. Enough of a direct bump, and it definitely would.