Having just had dinner at a friend's house, I learned that acrylic yarn crocheted in a circle approximately 5" in diameter can serve as a very eco sponge! WHAAAT??! YEAH! For reals! She showed me. She cleans all her dishes with the acrylic disk and it just takes all the grease off.
A google search brings us to the MAKE magazine
blog that informs us these disks are called Tawashis and the reason why this "sponge" works - the synthetic fibers act as microfiber and acrylic attracts grease.