Cervical dislocation is very clean. Bashing a rat on the head is a bloody mess.
Dislocating the neck is just that. The whole point is to sever the brain connection to the rest of the body. It's ethically considered one of the more humane form of rodent euthanasia by the IACUC. So unless your rat has an open would, there should be no blood. Otherwise, you're doing it incorrectly........
And the skin of the tail will come off if you don't grip the the base of the tail. Basic Rat Handling 101: hold by the base of the tail.