sometimes mine cuts out at around 1:40 when i drive off in the mornings occasionally - just turn off > pull key out > kill TT > put key back in > ignition> key in code> restart > and drop back into gear and its good for the rest of the day - im 80% sure it the seat belt clip sensor - a while back it got really bad and was draining the battery - solution > park on hill & leave unlocked haha, but eventully got around to re soldering the keypad and connections. And haven't had any trouble with it since except for the seat belt thing.
My 2c

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my05 STi
my13 Rok

:)