You may be a bit confused, since the place is kosher and you can buy either meat or dairy meals. So to make things clear, there are two very separate kitchens, but the tables can be used by customers eating either or. That means that there can be leftover/scraps of pizza or meat on the tables. That can be very problematic according to the Laws of Kosher food/kashrut. The only way I'd put food on the table for me to eat is to cover it first.
There's a large roll of paper towels, so I take a nice sized piece and make myself a "placemat" of sorts. I've been doing this ever since I began eating there. Honestly, I think that I'm the only one who does this. It's not like there's a "wait staff" who is constantly cleaning the tables. I'm just this nutty, fanatic Ashkenaz American...
But then not long ago I discovered a sign up on the wall.
According to Jewish Law, one must place "paper," (paper towel no doubt) under the food you are eating on the table.
Thank you and hearty appetite