Does your squeaking sound kind of like 'chirping'? The reason I ask you have two bearings in the clutch system.
First is the throwout bearing. On the input shaft, it is the larger one, it moves from the rear to the front to disengage the clutch by depressing the pressure plate.
The second bearing is a small, usually needle type, bearing that is installed in the flywheel and is called the pilot bearing. The front end of the transmission input shaft fits in this bearing to stabilize the shaft in the center of the flywheell/clutch plate.
The reason I asked if the sound you hear is chirping is the pilot bearing so much smaller than the throwout bearing that might be what your hearing. You can only lub that bearing once, when it is installed.
But you don't want to spray any chemicals on the clutch disc you could do more harm than good. If there is a lot of clutch dust well it can only come off the clutch disc and as it wears you get residue ie;dust.
Don't shoot the messenger here, but sounds like you are going to have to pull the trans to actually see what is wrong. Do you have any idea when your clutch was installed?
