Didn't know there was a name for it. 60 years ago we called it just plain fishing. Bamboo (cane) pole 10 - 15 feet long with a piece of level fly line tied to the end of it, 6 - 8 feet of leader and a green rubber spider for a fly. Lots of tasty bluegills went to the table using that set up. We also used a heavier outfit for bass fishing. The difference being that the bass rig only used about 6 feet of chalk line and the lure was a treble hook covered with hair from a cows tail and all of that was inserted into a lambs nipple. You would dap that lure in the lilly pads to catch bass. We called that "doodle-sockin".
Jerry