Someone want to clarify for me, WTF a "Triple Action Revolver" is?
As opposed to Single and Double actions?
Good question! IMO the narrator is wrong in calling the Webley a triple action revolver. It's not. It is a double action. There are four ways to describe a revolver action:
single action: you need to #### the hammer using your thumb, and you release it by pulling the trigger.
double action only: the hammer has no spur, and you need to pull the trigger hard to raise the hammer and make it fall at the end of the pulling cycle.
single / double action: (usually just called double action) - you can either #### the hammer with your thumb and then pull the trigger, or you can just pull the trigger and make the hammer rise and fall in one movement of the index finger.
TRIPLE ACTION: this is a rare feature and saw limited use for a while in the late 19th century. There are a few makers who made true "triple action" revolvers - Lefaucheux in France, Nagant and I believe Chamelot & Delvigne had models of this kind. In addition to being able to operate the mechanism as described above (single / double action) the shooter had a third option: by pulling the trigger slowly the hammer could be cocked and locked back in the cocked position until the shooter was sure of his aim, and with a further pull back of the trigger, the hammer would be released. This was supposed to make the shot more accurate rather than pulling the trigger through in one motion. It turned out to be too fickle a mechanism, and was soon abandoned again. I have not heard of any modern revolvers using the triple action design (anyone??). The triple action in early revolvers actually evolved from a second trigger, like in the Starr M1858 Army revolver. In this "double action" design you have to pull the front trigger to #### the hammer, and then move your index finger back to the secondary trigger to release it. A small tab on the back of the forward trigger could be adjusted in such a way that the forward trigger would automatically set off the rear trigger, making it a double-action only revolver. The Starr's hammer could not be cocked single action with the thumb. Starr thought this was genius, and sold a truck-load to the Union Army. They thought it was genius, too, but the decision makers were desk-jockeys and had no idea how it would fare in action. The rank-and-file on the front thought it was a bunch of horse***. They didn't like the newfangled mechanism. It was too cumbersome. The army went back to Starr and told him that if he wanted any further contracts, he better come up with a tried-and-true single action revolver. Starr abandoned the double action design and the new model (1863) was a standard, single-action gun...

Lefaucheux M1862 "Triple Action"

Note the small tab protruding behind the trigger. The hammer will stay cocked until the shooter pulls the trigger all the way, setting off the hammer by way of this tab.

Starr M1858 Double Action. The small tab on the rear of the trigger can be adjusted to act on the rear trigger and set it off all in one movement.