1
general::
Phrase(s): eat and run
Fig. to eat a meal or a snack quickly and then leave. • Well, I hate to eat and run but I have to take care of some errands. • I don’t invite John to dinner anymore because he always has some excuse to eat and run.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
Depart immediately after consuming a meal; also, leave in a hurry. For example, Sorry, but I'll have to eat and run or I'll miss the last train, or Jim runs a meeting so efficiently that in effect it's eat and run. [Colloquial; first half of 1900s]
American Heritage Idioms