There was a spray product of years past, not sure if they still make it, called StatiX, or perhaps Stat-X. It was made for cleaning Televisions, radios, random electronics, etc and had a special static-reducer in it to help with the television screen and other stuff. We used it on our older CRT screens with no problems, but its at home.
If its of any worth, I probably wouldn't use this on a LCD screen...not sure why, just feels funny. Worked great on CRTs and TVs though.