Hello - I just had a bad experience doing this and thought I'd pass on some tips.
Fibers on my focus screen prompted me to remove and clean, so I searched the web and found this and other forums.
Yes - removing the screen is easy once you know how - but the first time you do it, you will probably screw it up. Not having purchased a new screen, I didn't have the proper tool that everyone talks about - so when I pulled on the clip (with very little force), the thing opened immediately and dropped. The focus screen bounced and was knocked into an awkward angle. Grabbing the screen by the tab with one set of tiny tweasers wasn't working, and so I gently grabbed the entire thing to pull it out. Mistake two: I should have used something rubbery - cause I wound up scratching it. dang!
So advice # 1 - don't let it drop. use a finger or something to catch it coming down. Advice #2 - do not touch the screen by anything but the tab and sides.
I cleaned it and put it back .. and it was more dirty than before!!! I repeated this process about 8 times before I managed to get it clean with no specks. On one occasion, I pulled the screen out - not clearing the cradle enough, and scratch it again!! It barely touched as it was coming out. It seriously scratches WAY too easily.
Visually, it is difficult to see these scratches through the view finder. But what is noticeable is the image now has halos. Which sucks. This may affect metering. 
In my case, those fibers that originally bugged me were actually on the bottom side of the screen. I should have used an air blower or lightly brushed them off, from the inside of the cam rather than removing the screen.
I think it is nonsense others reporting that this is easy to do in the field. This thing is so delicate it is unbelievable. i can't even imagine carrying a spare without damaging it. And it is also an incredible dust magnet. i wouldn't do it again without a damn good reason.
If you do chose to remove yours, be very very careful. try to work in a dust free environment and have non metallic tools to work with... and be prepared to spend $35 to replace it too. I also second the advice not to rub it with a cloth.