I have a simple fix when I have to do "dirty" work on installed chains. I take a sheet of cardboard, fold it, and slide it up between the chain and bike, letting it extend out onto the floor. The "drop cloth" keeps spatter and over spray from the bike and wheel. Of course you still have to wipe off the chainrings, cassette (unless you use a chain keeper instead of the wheel) and derailleur. But the dropcloth protects the tire and rim very effectively, and greatly reduces cleanup.