Try disconnecting the servos from the pushrods. If it still does it, it could be a problem, depending on what "it" is.

Some buzz or chatter with a freshly charged battery pack that goes away quickly isn't a big deal. Some servos can get a bit over-eager when they get a higher than normal voltage. And that effect can vary from servo to servo with in a brand, it's partly a function of the tolerances of the parts inside the servo, espeically the pot.

An actual "click" noise sounds bad to me, it might be a bad gear in the servo, or some kind of pushrod binding. But with out hearing it myself, I can't say for sure, obviously.

If the buzzing goes away when you disconnect the pushrods, then you really need to look at your linkages and reduce the friction and get rid of any binding.