What auntiejude said.
I swear, one time Albus literally whirled around and ripped a chunk out of HIS OWN TAIL. To make matters worse, I had just given him a worm about 5 minutes prior, so he really had no excuse.
Sometimes axolotls can be very special little snowflakes...
If you're worried about infection, pop him in the fridge for a night to give the wound a little bit of time to close, then give him a worm and, if all looks well, put him back in his tank.
If you're lucky, it's a clean bite. Albus still had a bad shred dangling from his tail, and it started to degrade so I actually had to cut it off with some sterilized scissors. The little goon didn't even react when I did it, and it's healing just fine now.
Edit: That's a pretty clean cut. I'd keep an eye on it, but it doesn't even look like he needs to be fridged. Lucky!
Although from the looks of it, I'd be more worried about the marbles you have in the tank. He could swallow those, and then you'll be in a much worse situation... I'd remove those