Lots of addons will have an invisible frame on your screen and forget to disable mouse input. Even CTRA's emergency monitor is guilty of this when hidden. Wherever it is on your screen, you cannot click or even mouse over things. If you find out which addon is causing it, you can either un-hide it and move it to a different part of your screen that you don't normally click on, or find a good place in the code to add:
WhateverFrame:EnableMouse(0);
Also don't forget to add this somewhere else, so you can actually access the addon when you want to:
WhateverFrame:EnableMouse(1);
Even the edges of the default UI's chat frames (the parts that you can drag to resize the frames) don't allow clicking through when hidden or locked. It's an oversight/limitation in a huge number of mods.