Chime doesn't work on wife's car, either. We bought it with 10k, less than one year old, and it was mint. I've always assumed it was disabled by the dealer. I've got VagCom, someday I'll test the function to see if it works.
With VAG COMM open the Instrumentation controller, then select output tests. Checks the analog gage sweep, warning lights in two combinations, red high temp, and warning "gong" is what they call it. I get nothing for the gong.