Hmm... Although I don't necessarily think SOFU, as a trilogy, needs its own chat, I agree that offering chat as part of the stack exchange package might have value. Because although SOFU has a directed purpose in which chat might not be valuable, many stack exchange sites are social sites. They're becoming the new forums.
That's not necessarily a bad thing; especially if it drives usage and revenue.
Edit Also, if you go chat, you better give us some emoticons...