My only encounter with falconry was while coyote hunting one winter. A truck was parked at the side of the road in a strange place, so we stopped to see what was going on. Two guys had a peregrine falcon! If I remember correctly, the bird's owner tied a piece of a birds wing to a long string with some break away ability and attached that to a rather large drone. He sent the drone waaaay off, we could just barely see it, and set it to hover, then released the falcon. The falcon flew super high and circled for a bit until he saw the bundle, then dove down and picked it off the string!
The guy then pushed a button on the drone and it returned to the truck and landed (which I thought was cool because I know nothing about drones either, lol). He said the falcon would wait for them on the ground with the wing. He had a pretty long walk through a snowy field to go and get it, so we were on our way.
It was nice chatting with the guys and very interesting!