Whats the safest way to clean my laptop screen?

Damp tissue. Nothing rough. I use a damp tissue then a dry one. In fact I can see my reflection right now.

Don't use Windex or similar products. You can get screen wipes just about anywhere. Kleenex leaves so much dust behind.

I would recommend using a moist, not wet, cloth and rubbing it gently in circular motions over the laptop screen. Then use a dry part of the cloth to pick up any moisture on the screen. A kleenex isn't a good idea because they tend to fall apart when wet and using it dry wouldn't work so well.

If it's a glossy screen, use microfiber cloth and water, thats what they're made for. No chemicals!