Give me the cloth and stand back!!

Hmmm....my laptop screen is really dirty. There must be a ton of dust in the air at work because I don't notice it there but I'm sitting here staring through a nice layer thinking it was just the brightness of my screen that was down...alas it was that too but with it up the dust isn't as noticable. Can you spit shine a laptop screen? Would that look proper in the Computer Science lab?