I don't wipe my computer or tv screen, I make sure that I'll never touch the screen and leave marks. I just use a feather duster and dust them twice a week. New displays are non static so dirt doesn't accumulate as easy as CRT displays.
Haha, that makes me want to laugh because sometimes I notice one or two small hands, most of the times in my TV screen, because my kids seem to love to do it, especially when I am not watching. So I am guessing you don't have kids daimashin? Because if you did, you'd need to clean it, I am telling you by experience.
I clean my computer/laptop monitors and TV regularly because I'm scared of dust. Anyway, I don't really use anything special. I just use a wet rag. I'm afraid that a special cleaner will ruin the computer.
Dust is not the main concern really, to clean dust it's not even necessary to use a wet rag because a dry one has a good effect, the problem is when something spills on the TV or computer or the kids (or even adults) put the hands there and the screens get greasy, in that case a wet rag will not remove the grease, we need a different method.