You want something...basic...that auto-scrolls the chat frames to the bottom after a set amount of time, check out Tekkub's TheLowDown.
The default time at which the chat frames auto-scroll to the bottom is 20 seconds. You can modify this by (yes) opening TheLowDown.lua in a text editor, searching for "local delay" and replacing the "20" with a bigger or smaller number.
And Funky, yes, Sticky.lua finally works properly now. Can finally (finally) get rid of the year old Caeryn's StickyChat :).
Exactly what I was looking for. Thanks ;P