This was an article on the Minecraft wiki. I decided to archive it since it was pretty funny.
Wolf Jockeys are very rare mobs only found in PE. They spawn due to a bug.
The Baby Zombie has no control over the Wolf, so the jockey won't pursue you, but it will damage you if you get close to it.
There are a wide variety of ways to kill a Wolf Jockey, and the recommended ones are to hit it with a sword, use a Bow and some Arrows to kill it, or use splash potions of healing (which will kill the zombie and leave the Wolf alone).
- This is the only jockey exclusive to PE.