The clock relied on the radio to get power to keep the time. I suspect if you looked at the clock it would have three wires on it. Ground, constant power and power when the ignition switch is activated. There might be another that is regulated by the lights to dim it at night. Your constant power is not powering the clock and the grounding is not as good as it should be.
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Tuesday, July 17th, 2007 AT 4:34 PM