When a chain is new, I clean it in a parts degreaser before it goes on. After that I clean it with Brake Klean. Spray a 3" spot on a towel and run the chain through it several times. A few more times with dry towel. Clean between the rollers with a pipe cleaner folded in half. It's quick, and easy. If done regularly, your chain will always be clean. Mud running excepted.
The stuff that comes on there is for preserving it from rust. Run your fingers back and forth along the length of chain. Feel the rollers turn easily? NO? Get that crap off the chain. bk