The visor itself is not rattling. The piece that receives the visor....that piece is attached to the headliner...but it is rather loose. I need to find a way to tighten it up so it is not loose, so it will hold the visor firmly. What happens is, when the visor is clipped into that piece, the whole assembly rattles, making an annoying noise...and it's because the visor is not being held still. Wrapping tape aroundn that pin would hold the visor into the clip, yes, but since the clip itself is loose (and not fastened tightly to the headliner/roof), it will rattle.

There doesn't seem to be a screw that could be tightened, so I was wondering if therre is some other way to tighten that little plastic piece mounted to the ceiling.