I want to move a structure slightly down but it goes out of the world bound a little bit, so it can't be placed. There should be an option to ignore that limitation (Paste without checking world bound and cut blocks out of the bound)

Actually, this is quite annoying because I have so many large structures I have to place and most of them clips out of the bound

This should be doable easily enough, it's basically the same clamping that the somewhat recently added Render Layers based clamping does.