Really, to me anyway, the biggest hazard is dropping one or otherwise breaking it. The vacuum is extremely high so when they shatter the glass, even the thick face glass, has a tendency to fly around like bullets. When I was in electronics school the most common way to sabotage a CRT was simply apply 110 volts to the heater which blew it out and made the tube useless. Since we were all paying for the privilege of being in class in the first place, anybody that did that, sabotaged/destroyed a CRT, equipment or project, didn't last very long. There were too many of us that were serious about learning.
We had a teacher who was sort of an idiot, why he was ever hired is beyond me. Anyhow, he ended up in charge of equipment maintenance. We filmed him "drop testing" oscilloscopes, VTVMs, signal generators, counters and power supplies off the roof. He found they survived falls off a work bench so he moved "up" to the roof. The administrators couldn't understand how the test equipment was getting damaged that badly, until we, a couple of the students, showed them the film. It was very frustrating to me as a student since he was destroying the equipment we needed to learn with. The temptation to "administer the beating" was very great, but I did and do value my freedom.
LOL!!....had dogs and cats together before...don't have a cat now because we have an expensive bird (previous cat knew not to eat family but I'm afraid a new cat wouldn't....so when previous cat died, that was it for awhile for having a cat....but I love cats and miss having one), but the point of the post is I always had to keep the litter box away from the dogs....they like to snack. (yuck) 
