I was chucking solutions of hot Uranium salts around in labs in the '70s - at college, far less at work.
(I "chucked" very carefully and accurately, as evidenced by counting the radioactivity later.

)
The radioactivity from Uranium glass is very low level, and is unlikely to penetrate a sheet of paper.
But one would have to be very, very careful with any dust - it could be inhaled, and you'd end up with localised, internal activity - not to be recommended.)