The biggest worry is that your eye can cook in a small place like an egg.
We've all seen how clear egg whites turn white and opaque when cooked.
If your "lucky", the laser light just gets focused on the retina, and you lose just a patch of your vision. If you're unlucky, the proteins that comprise the clear parts of your eye are like those egg whites. A laser powerful enough to light matches, cut tape etc. is powerful enough to denature the proteins of your eye, and blind yourself.
As others have said, the IR that's leaking from a cheap green DPSS laser is rarely focused well, and not usually very collimated either. Other than being coherent, the IR light is more like an IR LED flashlight. Generally, the point of maximum IR danger would be right near the aperture, where the green light would warn your eye away from staring into it anyway. (Or cook your eye anyway)
The problem is that since you can't see the IR, you don't KNOW that for absolute certain.
To really know the danger from an IR leaky green, I'd guess the best way would be to use a laser meter, measure the total milliwattage, then repeat the test with an IR filter so you know how much of the total was the IR, then look at the beam pattern from known distances with an IR sensitive camera (ideally with a green filter to prevent the camera from being blinded by the green spot), to see if you can determine it's focus point (if any) and divergence of the IR light.