I know this is an old thread but I just got a new Macbook and tried cleaning its screen with a microfiber cloth sprayed with VERY little water just as Apple suggested but they didn't seem to do a good job at all. In fact, it kind of seemed like they spread even more grease instead. So. like with all my other gadgets, I then tried using a "magic" or "invisible" tape (the ones that look frosted) to clean the screen. As expected, they worked flawlessly. I highly recommend this method. They remove grease, oil, and dust effectively and have just the right amount of stickiness so as not to damage any kind of coating. The only reason I didn't do that the first time was the larger size of the screen. It would take quite a while to clean the whole screen this way. But normally, you just want to clean some parts of the screen anyway. I just wanted to share in case it helps somebody.