I found a quick work around, if you edit the part in a window within Solid Edge rather than maximizing the part window it seems to work. Restore all windows works as well, essentially the same thing.
I am also experiencing this very same issue. And its not just dimensions, any dialog box while in part editing (simulation values, etc) seems to do it as well.
Are you experiencing the text in the dialog box being highlighted as you move the mouse?
Does it also highlight and rapidly switch...