This is one of the single acrylic, faceted round handles popular in the 90's. I know there
Is a way to remove it, and clean the inside to make it look better, but how?

Hi Knusbaum...

Does your knob look even close to the knob below? If so, read on...

At the tip of the knob is a cap that gets pried up and out (see image). Sometimes I use a razor knife blade (in knife) and insert it between the knob and the cap and then just pry outward and the cap will pop off. There is a screw under the cap... should be that easy... ;)

Let me know how you make out, or if there are difficulties/issues that arise, OK?

Mark

Thank you, so much! If I'd known it was that simple, I would not have waited so long! It looks so much better now!

:) You are welcome!