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Phrase(s): See you later, alligator. [and] Later, alligator.
Inf. Good-bye. (Sometimes the reply is After while(, crocodile.)) • Bob: See you later, alligator. Jane: After while, crocodile. • Bob: Bye, Tom. Tom: See you later, alligator. Bob: Later.
McGrawhill's American Idioms And Phrasal Verbs