What kind of sound does the clock make when you hear it running?  Is it a hum, or is it a sort of raspy sound of a small motor running? 

In most cases, when a GE/Telechron clock fails, it's the rotor that needs attention or replacement.  As long as the clock is accessible from the back, R&R of the rotor is an easy job that only requires a screw driver.

OK, that raspy sound means the rotor is working, but it could use the "oil lamp" treatment, which I can connect you to once you've got the rotor out.  If the hands aren't moving it could mean that there's another issue, but regardless, you need a properly working rotor to have any chance of getting the clock working.   They've become expensive since they haven't been made since the '60s, so tuning up the rotor you have is the best way to approach this.  Also, please advise if the hands do move when you use the adjusting knob to set the correct time.

Here is what the rotor looks like (the round copper thing under the coil):