This doesn't sound cool.
Apparently graphic glitches with Macbook Air were quite common in the past with 10.6.5 and 10.8 (on HD 3000) and were solved with updates of the graphic drivers.
http://www.geek.com/apple/macbook-air-graphical-glitch-solved-with-os-x-10-6-5-1295804/
https://discussions.apple.com/thread/4160728?start=0&tstart=0
Strange.