The clock is integrated with your hazard light switch and passenger airbag indicator. This piece snaps into the bezel that houses the A/C controls and has a single connector to the wiring harness for all three functions.
I bought an extra one and opened it up to see what was inside. There's a single board that has all three functions soldered to it. If you try to replace the clock, you'll have to either lose your hazard lights or work out relocating either the switch or the board.
You have to take out a lot more than you realize to get to it. The center console between the seats has to come out before you can even access the side panels to get behind it. If you try to skip steps and pry out the side panels or the A/C bezel, you will break them.
I have a JPI digital oil pressure gauge from an airplane that would fit perfectly in place of the clock and a remote face for my Valentine 1 radar detector that would slip in place of the airbag lights. I was trying to work out how to keep the existing hazard switch between them, but I lost interest. It's one of those projects that has been in a box for five years now that I'll probably never get around to finishing.