I can't seem to figure out, how to Bhop with the tool. I know that I have to cancel a climbing animation and Jump with it to work, but I just stay in one place. Am I doing something wrong?

I still use a free scrolling mouse wheel myself to do it instead of the macro but it should work the same. Whatever you have your macro bound to, use that instead of the regular jump key to start the climb animation and keep holding it when you cancel the animation by equipping something. The timing can be different depending on what kind of ledge and animation you get, but most of the time it should work. Just keep practicing and you should get it eventually.