This MOBAFire guide is based off of HappyChimeNoises's recent video on AD Twisted Fate Jungle. I put a link to it below.
HappyChimeNoises's Video

Though Twisted Fate's clear is bad early on, his gold card is incredibly strong since you only need to land one auto-attack, and it's nearly undodgeable (with the exceptions of champs like Jax or Shen). Most meta junglers have to land a skillshot in order to successfully gank, so this immediately makes Twisted Fate more reliable.

Here's a couple of reasons why AP is terrible for jungle:

If you take predator, you won't be able to use it befor your first back because you need boots.

AP Twisted Fate mostly is throwing a gold card and waiting for your team to folow up with damage.

AP Twisted Fate needs several items to deal any damage. AD Twisted Fate can deal damage at level 1 with Press the Attack.

After level 6, Twisted Fate gets access to the greatest ganking ultimate in the entire game: Destiy and Gate. Gate is a free-targeted teleport with double the range of Nocturne's Paranoia at rank 1. It is impossible to escape a gank from Twisted Fate without flash and a turret. Destiny give's global true-sight of the enemy team, so you will always know whether or not you can be counter-ganked by the enemy jungler. The vision also makes it possible to lock down invisible champions like Shaco, Akali, etc. When ganking with Gate, always teleport in the direction that your victim is escaping to cut them off.

Typically you want a heavy leash at your

first buff

Then pull a

cheesy level 2 gank mid lane as you're pathing to your other buff

Then you

can gank top/bot if you'd like, aftr that, you can either come back and gank mid again, or you could clear another jungle camp.

Once you pick up

Noonquiver, you'll be able to clear jungle camps with relative speed.

Twisted Fate is naturally a vulnerable laner, so when the enemy team see's Twisted Fate in draft, they'll immediately try to counterpick, which will end in your favor since you aren't the mid laner. They try to counterpick you with Leblanc? Your mid laner gets to lock in Malzahar and ruin their life. Also no one ever expects Twisted Fate to ever be anywhere else besides mid lane.

This is not a new pick, in fact, Unicorns of Love used Twisted Fate jungle to beat Team Solo Mid in 2014 semifinals of an international tournament. It was used as a super aggressive, hyper-ganking jungler who would provide a balance of utility and damage later on.