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Are you trying to remove it to repair or just want to disconnect it to stop killing the battery?
If you're just disconnecting it might be easier to remove the passenger side lower dash and reach through behind to unplug it. To remove (I did mine recently) loosen of the two nuts on the center dash bottom (don't remove completely) remove all the top and side screws and you can tip it forward enough to remove the clock panel (still a PIA).
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Are there other things that you need to do to the gauges or bulbs? If so, just make a plan to include all fixes/upgrades at the same time. If you need a working clock, replace what you have with a quartz movement unit. It will never fail or drain the battery down (at least not in our lifetimes).
If the clock is your only issue with the gauge cluster, just figure the easiest way to cut power to the clock.
I took my clock out and.completely apart, cleaned it, reassembled it, and it works great - but it would always be off compared to the clock on my head unit so I set all the hands to 12 and unplugged it anyway :-/
Rather than tear the clock out, unhook it, etc., have you considered a battery tender? Really ez to set up, hook and unhook, and it keeps your battery just right all the time..............
I pulled the gauge cluster out of my 77 specifically to repair the clock and it wasn’t that bad. Certainly not the easiest thing I’ve done to my Corvette, but not difficult. To be fair, I had both seats out for re-covering and the entire center console was accessible. If you’re going to go in for that kind of surgery, take the seats out. The time spent is well worth it in frustration! Just be aware of what you may find. I found a cigarette, a red pill in capsule form, assorted change and lots of dust. Thankfully no dead critters, but it was a great opportunity to clean an area that may never see a vacuum!
Rebuilt the clock in my 77 back in the mid 90's. long before I was on this forum. still keeps perfect time. pull the seats. pull the sides off the console. pull the right lower dash pad. unhook the radio support strap. remove the 2 screws that hold the shifter console to the center gauge cluster. 2 screws that go sideways into the lower dash pads. (one removed already to remove the right lower dash pad). upper screws to the upper dash. carefully pull out gauge cluster and unplug wiring to radio and connectors to cluster. carefully wiggle cluster out. now you can access the clock.
May I suggest one of the quartz conversion kits.
Option 1 : wire cutters.... caps.... done....
Option 2: buy a whole new cluster and install after you rip out the and break the cluster/etc.....
Option 3: engine swap