It does sound like an earth fault, but it appears to be within the clocks as there is only one earth supplying the clocks and everything else works. it may be a corrosion in the clocks.
Do you have access to tools and a multimeter?
Do you know how to use a multimeter?
Remove the Screen, Using the Ohm scale the pull out the clocks plug and check that there is an earth at the clocks connector. There most likely will be.
Remove the clocks and take them apart, is there corrosion present anywhere within the clocks.
If there is corrosion on the circuit board, can you borrow a set to try from anybody, this is the quickest method for proving something works or not.
Post back the result.