Ah, in that case a basic unactivate healing jutsu should be enough. Check for breaks or any jutsu "ties" that are linked to the area; if their spine and soul is intact, it should be safe to move them.

To be honest, the best thing for a cut is to bandage it and then tell the child in question not to mess with it. Skin usually heals quickly and cleanly as long as the wound is not reopened or infected. If its a large wound stitches may be needed, but the same holds true. Disinfect the wound, either heal it or put on anticeptic cream, and bandage it.