does it cycle on and off when the turn signal is not activated, or does it just randomly stop clicking when the turn signal is activated ie, you're turning? IIRC, my Saturn ION's turn signal system is completley computer controlled, which means there's no flasher relay. So, to compensate for that so that you here a click, there's actually a "clicker" module somewhere under the dash to make the sound. If there's the case, it could be a problem with the computer, otherwise, I'm stumped...stray frayed wire hitting a pole of the flasher relay?
I had the same issue with my 96 Silverado (Coyote Custom).
I replaced the relay 2 times, had mechanics look at it, and we couldn't figure it out. It started out doing it on and off, but started to be a constant thing when driving. I finally had enough of it and sold the truck. Couldn't stand the constant ticking anymore.
multi-function switch would be my guess if you've looked at the rest of the circuit. I've never heard of a GM having the problem, but it sounds like what was happening when my F-150 work truck's went on the fritz (the wipers would turn on and off randomly as well).
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