I've got a number of good horsehide strops - including a new condition Torrey made in Worcester, MA - and I find myself using them less and less. Why? I've adopted the jointing (or "breadknifing") technique at the end of honing on a 30k Shapton followed by three very light strokes into the edge. After that, it doesn't seem to need stropping. Interestingly, the three jointing strokes I use leave progressively lighter stains on the white Shapton and that's how I know to do the three light drawing strokes.