In the first mission (two bandits vs. Striders), Sabrina got both bandits down to critical health (so they would die from one more hit). Red backstabbed her, and died to the counterattack, after which the game gave me a permanent hourglass symbol. I could still move the cursor and summon the terrain tooltip with Alt, but the enemy turn wouldn't continue.
I have Windows 7, version 1.041, and the latest version of Adobe AIR.
Attached are my two most recent log files (the second of which I forced with L).
Huh! It looks like the game somehow got stuck in an infinite loop there; I added in a line of code that should hopefully prevent that in the future.