Replace the 5.6 volt zener diode and also the associated switching transistor, it is for going between the clock and freq counter. Then replace the electrolytic caps that filter the DC supply and the small one that powers the oscillator / timer.When it goes bad, or shorts, due to bad electrolytics it shunts power (VCC) to gnd and therefore the clock resets. Sorry don't have a schematic in front of me at the moment to spell out the component designators for you at the moment, but you can find it in the service manual, or on cbtricks.com .
Do that, and the problem will be no more. But if you're having problems like that, 10 to 1, the radio isn't operating at optimum either. Sure it's probably functional, maybe an alignment could even get it back to being close to spec, but the caps are getting old. I would replace probably a dozen or so on the main radio PCB as well, and then realign.
Guys - these rigs are getting old.