In gongfu tea service a cloth is used more than any other tool: the tray is wiped between pours, the outside of the pot is kept dry so the tea does not over-steep, and cups are dried before they are set down.
A waffle weave absorbs more than a flat one, which is why it is standard for this job. Sized small on purpose — a tea cloth is meant to be held in one hand. Sold as a pair so one can be drying while the other is in use.