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Phrase(s): (I’ve) got to run.
Fig. a phrase announcing one’s need to depart. (See also (I) have to shove off for other possible variations.) • John: Got to run. It’s late. Jane: Me too. See ya, bye-bye. • Mary: Want to watch another movie? Bill: No, thanks. I’ve got to run.
McGrawhill's American Idioms And Phrasal Verbs