I'll second Grai's suggestion of glue. I slit my finger while on the playa - superglue was a great trick for holding the skin together in a place that gets a lot of wear, like the thumb.
Four things I learned from the experience:
1) Dull pocket knives are more unsafe than sharp ones. I'd heard it a million times but I never learned until it was first-hand experience.
2) Superglue > bandaid in terms of durability. Also, possibly more toxic.
3) Not even a superglue patch job will hold up a round to Super Street Fire.
4) Sometimes, it's okay to just go to the med tent. Like when bandaids and back-up plans fail because commanding fire using a pair of powergloves is more important than avoiding subsequent pain and disruption of healing wounds.
When he lights his streetlamp, it is as if he brought one more star to life, or one flower.
When he puts out his lamp, he sends the flower, or the star, to sleep.
That is a beautiful occupation.
- Le Petit Prince, Antoine de Saint-Exupéry