When I was a kid, our white shepherd mix got tagged on the neck by a copperhead. It made an ugly sore, but no permanent damage. Bites to the limbs aren't as life threatening, but there is always the possibility of a permanent limp if the bite was real close to a joint.
My Uncle got tagged on the ankle, and it was stiff and sore the rest of his life.
Good luck to your dog CJ.