1.Lit. a final parting comment made to remind someone going on a journey to write to those remaining at home. Alice: Bye. Mary: Good-bye, Alice. Remember to write. Alice: I will. Bye. Sally: Remember to write! Fred: I will!
2.Fig. a parting comment made to someone in place of a regular good-bye. (Jocular.) John: See you tomorrow. Bye. Jane: See you. Remember to write. John: Okay. See you after lunch. Jane: Yeah. Bye. Remember to write.