Scanner glass should be treated like one of your lenses. i.e. like a $2,000 piece of very delicate crystal. The cloth you mentioned (silk like matierial?) is fine unless it's dirty. After a couple of uses it will have dust (or worse) embedded in the fibers. This will scratch glass. Recomend that you.....
Dust should be removed with canned air, an anti-static brush or a very light brushing with lens tissue. Use short sharp bursts with the canned air to prevent any of the propellant from getting onto the glass. Also keep the can upright for the same reason. Use only fresh/clean lens cleaning tissue or something like PEC-PAD Lint Free Photo Wipes. Don't re-use them. I would rather leave the dust/smudge than scratch the glass with a t-shirt or kleenex. (I've learned that one the hard way!)
Lens cleaning fluid is designed to remove fingerprints and other oily smudges. Not meant to be used for dust removal.
Do Not spray lens cleaning fluid directly on the glass. This might remove coatings that are important for color, contrast and overall image quality. (Some scanners have it. Others don't) Spray a small amount onto the lens tissue. Allow it to soak in for a couple of seconds, then
lightly clean the glass with small circular motions. Do not put pressure on the glass. It will scratch. Check for remaining smudges and repeat the procedure. Be patient. Sometimes it will seem that you're only moving the grease around. Don't let this push you into applying additional pressure. You'll only damage the lens/glass.
I may have forgotten something.Hope someone will chime in.
I'm new here. I'll try to check in this evening.
Good luck.