I took mine off and took it to work with me and cleaned it in the safety clean machine. Made it spotless.
AFAIK safety clean is just mineral spirits. whatever it is it should be pretty safe. its safe to clean aircraft parts with so it shouldn't hurt our bikes either. and the coolest part is. No runoff getting into the environment thus allowing me to use a much harsher cleaner. But for in between a chaining brush and your choice of cleaner should be just fine.