The backscatter from my McGizmo 365nm UV light makes my eyes tired even in a room with the lights on, and even with UV-blocking prescription glasses blocking the center of my vision. UV is no joke, especially when it's really bright UV.
That being said, your Arc AAA UV is about as bright as a regular Arc AAA. The backscatter should be no problem, just don't look directly at it when it's on.
It's also worth noting that if you have blue or green eyes, you're more susceptible to UV damage even in bright visible light, because your irises don't have as much UV-blocking melanin in them.