Yes, the Amish do smoke tobacco. As noted above, they do use matches, not lighters. In addition to the Amish, the Mennonites - mostly Old Order Mennonites - also farm tobacco. Most of what they grow is Burley. They grow gorgeous tobacco, as you might imagine, and their yield is incredible per acre. I've made friends with some of the farmers there over the years. They sell their tobacco (the majority of it) in advance contracts to the big companies (names you would know but I probably shouldn't cite here).