Compression Ignition Addict
Join Date: Dec 2007
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Does the noise stop when the turn signals are on too?
What can happen is, the Flasher sw at the top of the column gets crud in it because it faces Up. That crud causes a bad contact that won't allow sufficient current to hold the relay's coil where it's supposed to so, it "buzzes" (if that's your problem). They will still work fine because using them supplies a better ground for the relay to use.
Try the Hazard SW On/Off a few times and see if it doesn't clear it up (temporarily). If it does, you can either take the sw apart and clean it (not easy if you're not into doing that kind of stuff, lots of plastic tabs and springs inside) OR replace it. I cleaned mine a few years back and it hasn't come back
If it's Not associated with the Hazards or Turn Signals it is probably still a bad contact or connector causing low current to that coil.