I see the following behavior in Chrome 48 (all extensions disabled) on Windows 7, with Navigation Popups gadget enabled in user preferences:
When clicking on a link that's near the bottom of the screen in VE, usually the screen scrolls up and the link inspector window appears, as expected. But sometimes the screen will scroll up without the link inspector window appearing; instead some random text will be selected.
I suspect this is a race condition of some sort, because often I repeat the exact same procedure (scroll down, click on link, close link inspector, repeat) for a few times, and then all of a sudden the above behavior shows. It's not reproducible, and I don't see it in Firefox.
If I double-click on a link near the bottom of the screen, I see the same behavior: the screen is scrolled up, some random text is selected, no link-inspector shows. (This happens in Chrome and Firefox.) If instead I double click on a link that's not near the bottom of the screen, the link-inspector opens and the link is selected, as expected.
Everything works correctly if the Navigation Popups gadget is disabled in user preferences.