I agree. But as I said, it is usually a single click when switching to battery. Not a "clicking". I've been using and recommending every computer be on a UPS for over 20 years.
I agree with Fred, where is this UPS located? Since these tend to be big and very heavy, they typically sit off to the side from the computer. Any sound they make should be apparent the sound is coming from the UPS. These are UPSs. Is that what you are talking about?