Can we get popovers to be dismissable in the same way as modals, ie. make them close when user clicks somewhere outside of them?
Unfortunately I can't just use real modal instead of popover, because modal means position:fixed and that would be no popover anymore. :(
Bootstrap natively supports this:
JS Bin Demo
This is basically not very complex, but there is some checking to do to avoid glitches.
Demo (jsfiddle)
Ok this is my first attempt at actually answering something on stackoverflow so here goes nothing :P
It appears that it isn't quite clear that this functionality actually works out of the box on the latest bootstrap (well, if you're willing to compromise where the user can click. I'm not sure if you have to put 'click hover' per-se but on an iPad, click works as a toggle.
The end result is, on a desktop you can hover or click (most users will hover). On a touch device, touching the element will bring it up, and touching it again will take it down. Of course, this is a slight compromise from your original requirement but at least your code is now cleaner :)
The answer from @guya works, unless you have something like a datepicker or timepicker in the popover. To fix that, this is what I have done.
tested with 3.3.6 and second click is ok
This approach ensures that you can close a popover by clicking anywhere on the page. If you click on another clickable entity, it hides all other popovers. The animation:false is required else you will get a jquery .remove error in your console.