The easiest way to alleviate noise is to systematically move through each moving part and repeatedly adjust it. For example, unlock the tilt lock paddle and rock in the chair for several minutes – this will help move the lubrication along the spring and stop loud squeaks.
It may be that the plastic finger guard (if applicable) on your control has shifted and is now rubbing against the mechanism paddles. Remove the guard and reattach it to stop the clicking.
Lubricate the spring in the control with motorcycle chain lubricant or self penetrating oil. DO NOT USE SOLVENT LUBRICANTS (such as WD-40) AND DO NOT LUBRICATE THE CLUTCH PLATES (see Figure 1). Sometimes new chairs need time to break in so wait a few days to see if the noises disappear.
Check/Tighten bolts attaching the seat and back to the mechanism.
Gas lifts will squeak if left idle for extended periods of time. Lifting and lowering your chair, and rotating in your chair a few times will eliminate these squeaks.
Check casters and remove any carpet lint, dust or grime. Check the bottom of the casters for flat spots. This can occur on chairs that are rarely moved. Replace casters if necessary.
Using carpet casters on a plastic chair mat will generate noise. This can easily be corrected by using soft wheel casters instead.