If the "clicking noise" is a constant chirp, then it is likely to be the aspirator motor/fan. As the motor ages, the bushing inside the 12v motor start to bind and emit a chirping noise, sort of a smaller version of the noise that older blower motors make.
Located behind the glove box, the small electric motor driven fan creates an air current via a tube that runs up the the nearby A-pillar that terminates near the climate control's temp sensor mounted up between the visors. The air current is used to get an accurate reading of the temp inside the cabin.