Fan is making a clicking type noise, but only on medium speed. It is a Hunter 3 speed fan controlled with a remote control device. No noise on low or high speed, only medium.

Does it have pull chains, does it have a slight wobble when run at medium? Could be harmonic vibration causing chains to click on the fixture? Worth observing but if this isn't the fix just write back and we'll go from there

No... it does not have pull chains. Only a very slight wobble on medium. It does have a light fixture, but that is also controlled by the remote control

When it is clicking reach up and gently take hold of the light shade or globe, does the noise stop?