This is not quite the same thing as a line going overboard looped around someones leg, but on a delivery this past week, I needed to deploy the emergency stern anchor, and I came close to cutting the lash lines. The captain had used two lash lines, each to a stanchion base, with way too many knots on each end of each line. Because I had the time, I untied a lot of knots, rather than cutting, but it was almost a full minute (cold weather, cold fingers, get the gloves off, etc) before I had the anchor over the side. If the situation had been more dire, I would have cut the lines, but I guess that also makes your point.