I have a (series now) of save games that start relentlessly start advancing turns as soon as I load them.
The UI feels very lagged while this is going on, and although dialogs popup that prompt me to pick new research, my input doesn't seem to matter much (I just mashed 'advance to next level' 8 times in a row, for example).
This is with the '0 day' patch, although the game in question was started prior to that.
I'm not sure if it's contributing or not, but all of my units that were on the world map outside of towns had move orders that would have taken them quite a ways across the map before this started happening, although even at 2-3 squares a turn they all should have gotten there by now.
I'll happily provide the saves, just tell me where to send them.