Start wherever you want. End wherever you want. Go high, go low, there are endless variations...the Society Turn crag seems made for traversing. If you try to make it as long as possible, you end up traversing a LONG ways, and in some cases you might find yourself soloing, as a fall on some of the higher sections is unthinkable. Even if you are climbing fast, the entire traverse up and back down can take 45 minutes to an hour. It is possible to go all the way until the crag peters out entirely, before starting up again to form the higher cliffs above. This description does not include the hard, chalked up section where the trail meets the crag, which would make it considerably harder, but is in a way out of character with the laid back nature of the rest of the traverse.
Oh yeah, make sure you avoid the guano, it's found all over the place, and is probably unsanitary if not unhealthy for a person. But don't let that put you off, now!
T, you didn't even mention the alpine conditions in which you first tackled the epic traverse in its entirety!
Anyway, I have this to add to the traverse description:
There is a 25 foot 5.11 traverse to start the thing (the part that Tristan says is out of character with the rest of the traverse). The crux of this part is 10-15 feet off the deck and involves sloping hands and smeared feet. Just hard and scary enough to make you bear down a bit.
After that, the traverse does mellow out, though there are short 5.10ish sections close to the ground. Options exist for short upward solos as well. These are usually in the 5.8 range.
It's a great place to get dialed in, climbing continuously for an hour or two....