Can we make Jayce a jungler?
No, like really.
I was playing Jayce as a jungler pretty recently, and I noticed that literally EVERYTHING about his kit seems like it was MEANT for the jungle, go look at it yourself. His Shockblast is an aoe poke that grants vision and lets him jump over to the camp you shot using To the Skies which is also AOE, his w in hammer stance is actually useful for once in the jungle, his "e" acts a second smite, his Hyper Charge makes him clear so much faster because it works so well with krugs, and his gate is amazing for roaming in the jungle and ganking. Not to mention his passive that makes him move faster around the map, and you get a champion that was practically built for the jungle. Not to mention that he can really use the warrior enchantment quite well considering his core item is in it.
His ganks aren't that bad at all either. He plays a bit like Nidalee, but with my more All-In, he also speeds up his ally so they can stay on the chase, and his gapcloser also acts as a really good slow for follow up, finally he has that knockback that when paired with his jump can be used to knockback the target towards you ally. It just feels like his kit is used to its full potential in the jungle.
The problem? His sustain. His first clear and early game is pretty bad. It's not the worst, because his Hyper Charge actually synergizes with really well with the krug buff (3 max as auto's), but he gets pretty low. I feel like Jayce can be such a good jungler if something were done to him like to Nidalee. They could maybe add a passive that works only on his Static Field called "Static Shock" that stuns the jungle monsters for a couple of seconds after all four ticks of his Static Field are applied to the monster. Or you can raise the cap on his Thundering Blow, though that won't be as useful early game, which is where he needs help.
tl;dr
His kits made for the jungle, but he needs a bit of help. Give him some better early game clearing and he could be a really good jungler.
