no eating thru the mesh, nope and mine is teething too. I have a little bed in there, some toys and a pee pee pad. She has been left alone all day when I go to work. I also put her food and water in there.
here's a link to see it
Pink puppy playpen - eBay (item 300304928554 end time Apr-08-09 11:33:43 PDT)