I have made a screencast that teaches you how to get started using Twine, and explains most of the features, best-practices for using it, and where we are headed with the product. You can read more about it and discuss it with me here.
For anyone who is new to Twine, this will be really helpful. Once you see this you will understand what Twine is for and how you can start to benefit from it right away.
For those who prefer YouTube's lower-quality here is the first part. Note that YouTube requires that videos are less than 10 minutes but the whole screencast is about 30 minutes, so I had to break it into parts. Here is Part 1 of 4: