Our shul recently had a sofer in to look at our newer Torah scroll. He suggested to the Rabbi that we clean the scrolls regularly, which we have never done. So we did it a few days ago, about 20 of us cleaning 2 scrolls.
The sofer told us to use facial tissue (Kleenex), which we did. We gently wiped all parts of the text and the white space. As we rolled them up, we wiped the back of the scrolls too. Lots of dust!!
I found, and others agreed, that the tissues broke apart, leaving both bits of tissue and a fair bit of lint, even though we changed them frequently. We didn't damage the scrolls. So I wonder if there are better things to use. A soft cloth? Even a soft brush for the backs and/or as a final step after rubbing the text side.
1) 200-300 years old, deerskin vellum, some damage. Tissues didn't make much noticeable difference but did remove dust.
2) 100 years old, cow vellum, in good shape. Tissues brightened the pages noticeably and removed dust.
We plan to do this again in about a year and will research alternative materials. We're on the West Coast of the US but the Rabbi and others regularly travel to Israel and elsewhere so we can easily get products if needed.
What does your shul use?