When i clean my LCD, i slightly soak it with water from paper towers, then grab some heavy duty paper towels, and scrape all the little crud off.
I used sunlight just for an experiment on my old laptop, it totaly scrued me over... the LCD leaked, and i got this rainbow colored stuff all over the desk. Took 3 ohurs to get it out.
So far, spend about 1 hour cleaning in with papertowles and water.