On the Britan the same style of dog clutch mechanism is used for both dies and taps, just a different holder screwed onto the front:

The sequence of operation is as follows, first dogs driving:

Once a stop is reached the dogs at the point of release:

The dogs slipping, ie, the tap/die just revolves with the work; no feed:

Dogs reversing the die/tap after the spindle rotation is reversed:

I’ve used the tapping function for making hundreds of custom nuts. The die facility is far less used as I prefer to use the Coventry diehead.
Julie