I have a fairly small, lightweight, new Sony High Definition video camera that I'm hooking up to a suction cup that is mounted on the inside passenger side front window. I don't know anything about hooking up to a lipstick camera but I can look into it. My video is the new wide format (which is why I was having problems with YouTube because most of what they have is standard format).
The suction cup is easy to move from car to car and won't come off over any rough tracks. I already tested it on the back of my car on the freeway at high speed.