My clutch is making a weird weird sound

It sounds like the disk isn't centered to the flywheel. It would have to nestle itself in. Loose on the splines or loose pilot bearing or bushing. Annoying but not serious. We have an outfit around here called "Clutch Changers" that only does that, cheap and easy. At least they were around ten years ago, the last time I had a clutch on anything.
I also think it could be the throw out bearing except that is usually constant once it starts.