So i just bought PoP TTT today and i'm at the part when you are the dark prince and your run on wall, and then jump right to the chain. I try to move down but he just hang there and gets stuck. Any solutions?

Here is a link with video walkthroughs for every section of the game, to my understanding.

Nope, it's not the problem, i've ended the game like 10 times, but i'm having a bug that i can't move on while hanging on chain.

Oh. In that case, my apologies. I've never experienced that bug when I played it on original XBox.

You tried pressing "Jump"?

Ok, so i found a good solution. For those who have the same problem, enable V-synch and you should be good

One very VERY good word of advice for you: multiple saves, make them. You're going around much off the same area for at least a decent portion of the game and if you don't know what to do, you'll end up like I did and get stuck on the upper levels of the main area with no way down.