Quote: I can't for the life of me figure out what could be draining the batteries from the clock so quickly.Sounds like it's time for hidden motion detector camera in the kitchen. Or, a logitech web cam that captures photos from your computer during times you are gone by motion detection.
Scenario: Toy needs a new battery, so "someone" replace worn out battery in toy with fresh one from clock. During change, the clock loses time. Use a small amount of clear tape, and stretch a thin human hair across the battery to see if anyone other than you is tampering with it.