Working in IT since 1979 I spent a good amount time cleaning computer displays as well as keyboards. I was very particular about keeping electronic equipment clean. In fact I was obsessed with it and still am today. I learned it was much easier to not get it dirty to begin with than it was to clean it after it got dirty.
I actually wash my hands prior to handling my equipment at home as well in the workplace when I was still working, especially after eating. I've seen it all, people working on computers eating chicken wings, corn on the cob with butter, glazed donuts, french fries, ETC. In the early years you had to be careful what you used to clean computer monitors as many of them had an anti-glare coating on them that was somewhat vulnerable to any kind of chemicals or solvents. The most effective cleaner I ever used was Windex window cleaner. It never damaged anything. I would wipe it dry with a paper towel immediately after cleaning. I never sprayed it directly on the screens or keyboards. Years later I started using isopropyl alcohol, again with great success, no problems. Be careful not to scrub as you'll risk scratching the screen. Use this information at your own risk. It's a good idea not to get things too wet or leave anything on for any length of time. I've tried lens cleaner for eyeglasses but it was not an effective cleaner and was expensive.