Hey I had the same problem. I took it in and it was a relay located under the dashboard.
It was covered under the warranty and I am not sure exactly what relay it was but let me know and I can look it up in the papers.

 

I will definitely look into that, thanks a lot for the suggestion! Also, did your ticking not happen all the time, for example, when i usually start my car after it's been sitting for a while, but after some time and heat usage, it starts. Thanks again.

 

A ticking noise in the dash can be the hazard relay (red triangle) so if you suspect that place your finger on the switch while it is ticking, if you can feel it tick replace that hazard relay. Now if the relay still clicks after replacing it REMOVE THE CONNECTOR ASAP!!!!! the turn signal switch is shorting out the hazard relay like i said to Nocturnal_A62.7

 

I have this same ticking, not a buzz, and mine comes from the area of the headlamp on/off switch in my '04 A6.
Happens about 50% of the time I start my car, lasts for about 5 seconds, no pattern, just a random tick.

I think I'l have to check the car for Lymes disease.

 

do your head lamps work corectly i have a clickeing noise in my dash (pos. headlamp switch relay) that i am trying to figure out

 

i got a sound in my senter consoul too.. its not like a releay sound but more like it open/close something..
its random,and i got it when the heating is on and off.

 

Ive never had this on my Audi, but my VW had this issue - It sounded like the turn signal click - comming from my dash. I replaced the relay (the cheap option). The VW dealer sold me the relay for $24 and told me if it doesnt solve the problem to just return the relay.

This didnt solve the problem for me, but what i did read and try is just some electrical contact cleaner and conditioner from Radio Shack and spray it in the turn signal stalk. This solved the problem - turns out the turn signal stalk connector was dirty casuing the relay to fire.

Its a cheap solution that wont work for everyone, but worked for me.

 

its probably just a bomb. it should stop ticking eventually