Apologies for dragging up an old post, but I was perusing this board and I could not pass it up.
I once made a one-of-a-kind wood screw with a left hand thread. My employer wanted a left hand wood screw to demonstrate on video the power of a motor employed in a product and they figured showing that it could drive screws into wood would be a good way. Trouble was the shaft was only on one end and it turned CCW. I had a very short fuse on the project: literally just hours.
I took a regular, round head, wood screw, mounted it in my metal lathe, and filed the threads off. I grabbed it by the head in a three jaw chuck and supported the point with a improvised hollow ended "center". Then I took a small spring that was wound in a left handed helix and stretched it over the thread-less screw. I bent the end down to the tapered point and cut it off. Then soft soldered it together.
It did not have any proper thread form, but unless you looked close, no one could tell. And it worked just great in soft woods. We screwed it into and out of many holes and it was still as good as new. You really could not tell that it was any different than a "real" wood screw. It took less than an hour to make and I could easily make then in moderate numbers in about 20 minutes each.
I don't know what happened to it, but I like to think it is the only left handed wood screw in the world. I searched and there seems to be little or no reason for making a left handed wood screw.