Lol! I've heard about things like that, even remember reading a story in Outdoor Life about a similar situation many years ago, but never had it happen to me. I do have plenty of lures sitting in various tree branches though. But I did have a weird catch situation when I was a kid, it just didn't involve a tree.
I was 14 or 15 and living with my parents in LA. We went down to San Diego one weekend and stayed at a place right on Mission Bay. I walked to the Bay from our cabin and waded out into the water. I had one of those real heavy lead pyramid weights and a single hook rigged to a leader. I didn't have any shrimp or squid for bait, but I did have a piece of beef stick that I broke off and put that on the hook. I cast out and the line broke (I was using a freshwater rod and probably 8 or 10 lb test mono but it was all I had at the time). There went the weight, the hook, and the leader. The next day I went back to fish in the same area. I remember I was casting a small red and white spoon, probably an old Daredevle. After a few casts, I felt a tug and started hauling something in. I was pretty excited because I'd never caught anything on a lure before. When I brought it in the treble of the spoon had managed to snag the broken off line, weight, and hook of the rig I had lost the day before. Hanging on to the hook was some kind of a small rockfish that must have chowed down on the piece of beef stick. I was still happy I had caught it though.
" Fishing is not an escape from life, but often a deeper immersion into it"