What is Twisty CLL? 

Twisty CLL is an advanced version of CLL where one corner can be oriented incorrectly in your layer. The two different corner twists are called TCLL+(plus) and TCLL-(minus). TCLL+ is when the corner faces you, and TCLL- is when the corner faces to the right. (TCLL- algs are currently being generated. They should hopefully be fully developed before January 10th)

Where do I hold the twisted corner? 

Generally in the bottom right corner. (Shown in the picture) 

When should I learn this? 

I would only recommend learning this if you already know full EG and can one look very well. This is not a method to be used on it's own. 

How do I recognize the cases? 

It's quite easy to make a method to recognize these on your own. But, for the extremely lazy people, you can pretend one corner is twisted and recognize the case like CLL. I will make a video on how I recognize the cases at some point. 

Hammer (TCLL- algs)

x U R' U' R U R' U' R x'

y L F' L' F L F' L' F

R U' R U' R' F R' F' R U' R'

U' R U R' F R' F' R U' R U2 R'

U' R U2 R' y' U R' U R

(U') R2' F R F' R U2 R' U' R

U' R' F R F U' y' R2 U R2

U' F R U R' U' R' F' R2 U R'

Spaceship  

Stollery 

U2 F2 R U R' F U' R U' R'

F2 R U2 R' F U L' U' L 

F R' F' U R2 U R2' U' R

R' F R U R U' R' F' R U' R'

U2 F R' F' R2 U R2' F' R U' R' F2 R

U R2 U' R' F R' F' U' R U' R'

Pinwheel

Two face

R U' R' U2 R U' F R F' U R'

Turtle

U' y L' U L U' L' U L

y' U' R' U' R U' R' U R

y' U R' U R U' R2' F R F' R U' R' U2 R

U2 R F' R' F' U R' U2 R F'

U2 R U R' U y L' U2 L

U' R U2 R' U2 F R' F' R

R U' R' U2 R U R2 F R F'

Pinwheel poser

R2 F U' R U F2 U R'

U F U R U' R2 F' R F R' F' R 

y' U' x' R' F R2 U' R' U

U F R' F' R2 U R'

Gun

U2 R F2 R F2 R' F2 R U' R'