I spent a lot of time trying to figure out similar issue in my 1976 AA5B Tiger. You may be seeing voltage regulator turning on and off the alternator field and that is normal. The speed of the clicks is somewhat in time with the engine RPM. Watch your ammeter needle if you have one, see if the click sound happens at the same time as ammeter deflects. It is normal for this type of voltage regulator to engage and disengage. Turn your headphones down and volume up on radios to avoid distraction from the sound. You can further prove this to yourself by changing the electrical load and seeing if behavior changes. Turn on lots of load by turning on pitot heater, interior lights, etc. You might see bigger but less frequent swings on ammeter. At low load levels, pings can be very frequent.