General encouragement ahead: replacing the capacitors is phenomenally easy.

It being a rainy weekend in Northern California and yesterday having removed my instrument cluster for easy access to a ground, I decided to give it a crack.
A couple of 100UF 35V capacitors from radioshack ($1.49 a piece) a $4 soldering iron and a small spool of solder ($5) and an hour later the clock is fully functional.

I had no previous experience with soldering. It's not too bad.
The only trick is figuring out which hole is positive and which is negative (fairly obvious, just requires care). Here's a snap of the first capacitor in place on the board, pre solder.

http://postimg.org/image/tg2n763dh/