Taxying your taildragger across the tufted turf, one's airscrew is usually well clear. Also my Dachshund has nothing to worry about.
However, when intending to depart, the tail rises and the ground clearance for the prop is probably about the same as the nosewheel aircraft, so it behooves you to chose your run with care.
Landing, of course, is fully held off, and 3 point. Beware of crosswind gusts.