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Phrase(s): beat a path to someone’s door
Fig. [for people] to arrive (at a person’s place) in great numbers. (The image is that so many people will wish to come that they will wear down a pathway to the door.) • I have a new product so good that everyone will beat a path to my door. • If you really become famous, people will beat a path to your door.
McGrawhill's American Idioms And Phrasal Verbs