Ornn never looked like much of a jungler from his reveal, but that doesn't mean he can't do it anyways. YouTuber Stonewall008 shows us exactly how to get through your first clear as the Fire Below the Mountains and how exactly to exploit Ornn's mechanics for the optimal clear.
The most important thing to note here is how healthy Ornn stays, despite going for a full clear. Maintaining a high HP level means he'll be relatively resistant to invasions and can go straight a gank after finishing off his buffs. Being able to guarantee Searing Charge's knockup is another nice aspect of Ornn jungle - it drastically reduces the damage he'd otherwise take from AoE camps.
The downside to Ornn jungle is how long it takes. Other tank junglers like Sejuani and Sion clear much faster than Ornn, all while also offering better gank assistance. A healthy clear is good, but fast clears can be the difference between making it to bot lane for a gank, or watching the enemy team get first blood.
However, Stonewall008 also wasn't exploiting Ornn's ability to buy items from anywhere. Picking up a Hunter's Machete after your first few camps - without backing - would probably greatly accelerate the clear speed.
It's still too early to tell if Ornn jungle will be meta, but at least for the moment it looks fairly decent.