Hey Eelco,
I have the LMG polishing kit, its basicly the same thing. LMG enterprises, I believe is no longer in business.
My polishing kit has an instruction sheet and says the following about cleaning the micro mesh cloth; if you are using Micro-Mesh dry, slap it frequently with your hand to free it of abraded particles. Micro-Mesh is designed to unload easily and keeping it clean will speed up your project.
You can use them wet, but first soak each cloth in water for ten minutes.