A low-power laser pointer would still be very interesting and perfectly safe. Star Trek/X-men/Superman/Star Wars dreams of stunning enemies with a beam of light from your eyes, there's no to have power levels that can light matches, pop balloons, or otherwise cause destruction.

One cool use, IMO, would be a time of flight distance-measuring laser: With only a single working eye, OP lacks binocular vision for distance measuring. With the equivalent to a Bushnell rangefinder, they could stare at an object, blink twice, and hear a tiny voice literally in their head say "37.84 meters".