I find myself often fighting with the handle for the web access toolbar as it often overlaps things in my session I need to interact with. Moving it to the right (bug 6126) only changes which things it overlaps, as both the left and right edge are popular UI areas. This change is also not properly remembered if you have multiple agents. Unfortunately, the top and bottom of the screen are also commonly used, so moving it there is not an obvious fix either. This is even worse on machines with touch support, as we increase the hit box of the handle to make it easier to hit with your fingers.
Allowing it to be permanently open, and no longer being an overlay, might be an option. You sacrifice some screen space, but avoid the whole overlap mess.