A couple of simple practices keep me out of trouble with FC:
1. Use latest generation fluorocarbon, such as Fluoroflex Plus from Rio. First generation FC had good strength on a test machine, but no impact resistance to sudden shock from a startled steelhead.
2. Never use FC with dry flies because it has a specific gravity of approx. 1.5 or 1.6 compared to nylon 1.2. FC sinks all dries I have tried it with in my [spring creek] fishing.
Theclearblue give good advice about disposal. Because FC is UV resistant, it will not deteriorate in the outdoors. Take your clippings out with you.