They do... I haven't had a ray of sunlight touch my now sickly green skin in like 2 months. Not to mention the wild, suken eyes and talking to yourself. Between work and playing games addicted to frikkin' achievements, many slowly go gollum.
I think eventually there'll be a sub-race of achievement gollums all around the world. Black achievement gollums, white achievement gollums, latino achievement gollums, asian achievement gollums, etc, all connected through the world wide web. I said eventually, but I guess I'd say this is already happening.
 
Of course, if you sip mate all day (real yerba mate, not the energy drink garbage) like I do, the green pigmentation will come quicker.