LOL, nice pic.. yuck!
But the person that suggested super glue was right on..
It was first used during the Vietnam war to stop bleeding and is still used.
Rock climbers use it for quick first aide when climbing.
I get thumb splits constantly and use it. works perfect.
What you do is apply just a drop, then you can sand it down so there is no bump and it is pretty seamless with the added benifit that it wont slip off like a wrapping would.