"The fifth is ambition. It next will be right To describe each particular batch: Distinguishing those that have feathers, and bite, And those that have whiskers, and scratch.
This is suprisingly direct. "The fifth is ambition." Carrol then goes on to describe that Snarks can come in different types: feathers and bite or whiskers and scratch. He doesn't wax poetic about ambition.
Feathers and bite could reference written things (quills represent writing) and indicate correspondences and maybe accountaints. Wiskers and bite might be other wealthy people who contest with you for the enterprise.