You'll only get stuck when you move Reemus from one of the statues STRAIGHT to another room using the arrow below...don't do that, keep Reemus in the statue-room all the time, switching from one statue to the other, and you'll be fine.
I'm sure I've played and completed this game before..but were there no badges then? I'm confused. Still a good game though, although it's much easier to complete it when you already did once. User created content could be fun!