Yeah, sticky fingers shouldn't be a problem. I've tried the wet wipes specifically for PC screens, but have found that I get better results with a can of spray for cleaning the lenses in glasses. I bought it at Asda, for about a third of the price of the PC wipes, and it's lasted much much longer.
I don't use the Kleenex & water combination, simply because I always have the lens cleaning stuff lying around the house for use with my glasses and I wouldn't dream of scratching my glasses with kitchen paper or loo roll!!!