I can confirm this worked for me Today, 02/11/2013.
I would change the time zone to GMT -12 Tokelau and GMT +14 Kiribati. Each time I would toggle the times, I would load the game and wait until I was at the main menu of the game. I then would hit the guide button and go over to System Settings and toggle time zones again.
I started this at 10:30PM EST. Didn't take too long.
Working on Obsessive right now.
→ Beast Mode: [On] Off
→ Xbox One Gamertag = SimplyMidget