Not with TireTrends lug nuts, but some of the chrome plated lugs I got when I bought a set of summer wheels (locally) started rusting a little bit around the edges I noticed. And this was even though I took the time to wax them and did the installation myself!
I'm just going to polish them up, re-wax them and see what how they fare, but I guess that's why quality lug nuts from companies like McGard and Gorilla are supposed to be better.