I don't know why people don't just put missing links on their chains, remove chains when it's time to clean, put chain in an old waterbottle with a tiny amount of odorless mineral spirits, rattle a little bit, fish chain out, hang for a few minutes to dry, install chain and lube.

This process works well, makes a gallon of mineral spirits last forever,(recycling) and I have it perfected to a five minute job.

Oh, thanks again, Sheldon Brown.