Hello, I don't know how old or outdated that thread is, but I have that exact same problem when trying to wear a rigged mesh outfit that includes deformations in it.
Since I wear mesh eyes, I can compensate by making a copy of my eyes and moving them back in the skull, but I'd like to avoid having to do that all the time.
I tried multiple tests to see what my problem was. I tried different viewers(the basic one included). I also tried reinstalling them and keep only one of them, also did cache clearing.
However, what struck me was that I also tested that problem I had on an alt account I had...and strangely enough, it did not have the problem. The alt could wear the rigged mesh without the eyes popping out.
And to add further, I even tested the same rigged mesh on my main account, while using a different computer...and guess what? Eyes were still popping out.
In other words, whatever problem I have is NOT related to my machine, but to my very account. There is some kind of error in it that I can't fix.
A friend of mine also has that eye popping problem, and while that friend hasn't done the tests I did, I think that we have the exact same problem.