You can buy screen wipes for TFT monitors. I use them on both my laptop and my PC monitor, few quid and work a treat I'd imagine they're just a very weak alcohol mix on a fancy rag.
water in a bowl with one drip of washing up liquid(softens the water)and dampen a soft cloth, cleans finger marks off a treat and leaves no drying marks,make sure the panel is cool and the monitor switched off while doing this