Tried this in 4 browsers (Chrome, Firefox, IE, Opera) and couldn't reproduce - the text does move a little if you hover which makes for a somewhat amusing shifting effect as you slide the cursor around in the box, but at no point does it move so far it "disappears from under my cursor", and I can still click the link.
I know the behaviour you're referring to as I've seen it before on other sites, but not this one.
I think it depends on the window's width. There's a sweet spot, right when "Non-Political Articles" (but not the | accompanying it) is aligned to the edge of the container box, where I can reproduce in Firefox the jumping behavior described by the GP.
I know the behaviour you're referring to as I've seen it before on other sites, but not this one.