Since this was very hard to google I think it needs more links.
I’ve just set up Movable Type 4.3 to use fastcgi under lighttpd. I use lighttpd because it’s (normally) easier than apache, and my VPS doesn’t have any swap - apache is heavyweight in the RAM department. However, I do have RAM to spare, so caching the perl seems smart, especially with CPU that’s probably overcommitted.
It turns out you need MT-Dispatch to get it running.