well, generally speaking in aviation, we're told not to polish/clean glass in circles because it will make the glass more opaque quicker. We're told to always wipe back and forth in the same line.
For my screen i use something called "clean dr." that is a more viscous fluid that prevents the fluid from reaching the crack at the bottom of the screen so it won't run inbetween the edge of your plastic screen and the LCD or Glass (for CRT) border. I also use an anti-static microfiber cloth and it has worked wonders for me
Removes everything from the occasional sneeze, burp or cleptomaniac fingers.
I'd personally say that paper and water is a no-no, but that's just me. Paper actually has polishing properties and may actually be rough enough to do some damage eventually(yeah, rub it non-stop for a year). Water doesn't mix well with electronics so... you could have an accident.