This tuller drill video has been makeing the rounds on the gun blogs today, I first saw it at Sharp As Marble:

This looks like it is intended to be basically a Tueller drill, and it does illustrate a major shortcoming in the original incarnation of the drill, namely that the target is not at 7 yards when you are actually shooting at it. The shooter here spends as much time on his draw stroke as he does shooting. I believe that his first shot is at about roughly 5 yards and all subsequent shots are closer still. Some of the comments in the thread about moving backward or laterally will give you a little more time, but as it has played in force on force simulations the best method for getting more time to engage is to move in sort of a “J” and begin to circle.