I'm watching as well as I'm suffering this same issue. I power up my system once every week or four. CR2032 battery - a couple of months and I no longer have an accurate date and my data file naming goes bananas.
Just ordered an external RTC, but that'll drive a board spin and figuring out how to get it functioning...
If I've got 12V available, is there a super low current way to power the RTC on the Teensy so the vehicle battery could power it? Can I have the 2032 and the 12V reduced voltage in parallel (diode or'd) if I unplug the 12V, I don't have to reset the clock? Or cap that'll power it for a few hours if I disconnect the 12V?