it seems to be a really fucking odd thing. what year crx. It may take some trouble shooting but a multimeter and the wiring diagram will be the salvation. If the connectors on the back of the cluster are good, then I would lean towards a wire, or a few wires, that have been rubbed against something and causing a cross connection, since it all has to do with the gauge cluster area I would look at the wires coming from the steering column ( for the headlight switch wire) the dash dimmer dial wires and all the wires off the cluster. you may have to peel back the factory tape but a visual may let you find the problem.
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U.S.S.A Crew Member #001