What is Ponyboy comparing Two-Bit to when he calls him a "chessy cat" in The Outsiders?

When Ponyboy refers to Two-Bit Mathews "grinning like a
Chessy cat" in Chapter 2 of The Outsiders, he is no doubt using an
allusion referring to the mythical Cheshire cat made famous by Lewis Carroll in
Alice's Adventures in Wonderland. The Cheshire cat in
Alice was famous for its mischievous grin but, nearly as important,
it could appear and disappear at will. In this scene of The
Outsiders, Two-Bit surprised Pony when he came out of nowhere and snarled,
"Okay, greasers, you've had it." Pony "almost jumped out of his skin" until he
"fearfully" looked back to find it was only Two-Bit. Two-Bit was also similar to the
Cheshire cat in another way: The cat in Alice often cheered her up when she was down,
just as Two-Bit does with Ponyboy.