I think the game can be quite fun and challenging once you understand the concept, but initially, I had no idea what I was meant to be doing.
Your *demo* has a list of controls, but it's not here. :P
So my first steps were trying to click everything – the chain, the ropes, drawing “cut” lines across to no avail. Then I clicked the restart button, thinking it was a “Rotate” button; something to interact with the game. After some button-mashing, I figured out only left and right.
There's also the invert controls option in the main menu, but a first-time player will have no idea what it means, and you can't change it mid-playthrough, because there are no in-game options or going to the menu and back.
As for the game itself, at first, I didn't understand why sometimes it moves just a little bit to the left, and sometimes halfway through the chain. I got through several levels just by brute force.
I think I was just ignoring everything white on the grey background (hard to see), so I blocked out the arrows pointing out where you'll move, and definitely didn't connect them with the gap. Perhaps if they were blue as well, to match the gap?
Sometimes it felt like I made a mistake and the level restarted, but I simply ran out of moves which I didn't see (the restart and go back buttons are *much more* prominent than the actual elements affecting the current level).
All I'm saying is that the game would benefit from an in-game tutorial before the first level, showing you the controls and explaining the goal of the game with a primitive example.
A minor nitpick, the Level Select screen has a scrollbar which isn't pixel art, unlike the rest of the game.
Besides that, it's a very solid puzzle game.
P.S.: Do you know about Newgrounds.io? You could post the final score to the built-in Newgrounds scoreboard so people can compete with each other. There are several options for Godot; it depends on your version.
https://www.newgrounds.io/get-started/