Radiologically, Uranium glass is virtually harmless. However I believe Uranium glass often contains a lot of lead as well, similar to the lead crystal glassware a lot of people own. Lead crystal glass is mostly harmless but not totally harmless, if you leave anything alcoholic or acidic in it long enough, it will leach a significant amount of lead. Used briefly on occasion it's not really a big deal.
It's not quite that serious. It's fine to serve yourself with a lead crystal but you shouldn't be storing wine in a lead crystal decanter or something like that.