Glass is very good at containing radioactive material and uranium only has very weak level of activity, it's not anything to worry about. A sheet of paper will stop it, you don't really need lead armour.
Unless it gets broken or is turned into tiny particles which can be inhaled, putting a radioactive source inside you, that's not healthy.
As long as the uranium stays in the glass, and the glass stays outside you, you have nothing to worry about.
I do not worry at all about wearing uranium glass beads. If I ever visit a nuclear reactor, I'm going to wear them to see if they do set anything off.
(I've heard they did once, I really want to try it for myself.
)
The other week, I found a really massive old pressed glass lemon squeezer, but gave it to my brother. It had no marks whatsoever. I suspected that was for grapefruit. It had a really big, deep dish all around and a loop handle.
When I find things like this, they tend to go straight into my kitchen. They're practical, designed for their function and they actually
do work.