Well, none of mine do, but when I was growing up I had a siamese cat that was the sweetest kitty I ever knew....She was so loveable and affectionate, and everytime she would get rubbed and get scritches, it was like she lost control of her saliva glands.....it was kinda gross, but I still loved her..we had to put her down due to numerous of reasons...she was old, and was going blind, and I don't remember everything else....but anyway,,,,that is besides the point...did or do yours do this?