LCD monitors are a delicate species, so proper care is essential to their longevity. There are three issues you shoudl be mindful of: damaging the glass, damaging the antiglare coating, and damaging the surrounding parts.

In the absence of manufacturer recommendations, you should clean your screen with water or 50-percent isopropyl alcohol, using either a lint-free cloth or a paper towel. Oily fingerprints on an antiglare coating are tough to clean, but an ammonia-based cleaner like Windex can do the job. Such colvents could damage or discolor the surrounding plastic parts, however, so never spray the screen directly. Instead, spray onto a cloth, and wipe the screen with your moist towel.

Also, never put any pressure on the glass. Besides the risk of breakage, it changes the optical properties of the panel, usually just temporary, but permanent damage is possible.