Hi yotagimlet. Make sure you're running the newest version, which I think is 0.6.7. (I mention this since you posted in the 0.6.0 announcement thread.)

Quoting from a different topic in this forum, Kathy the lead beta tester said, "It also helps to make sure that you have an active internet connection (WiFi or Cellular) before you open VT for the first time each day. Even though the game can be played offline, it needs to touch the server each day."

That has always been the culprit when I've had a day get stuck.