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Phrase(s): zip something up
1. to close a zipper. • You should zip that zipper up. • You should zip up that zipper. 2. to close a garment by zipping a zipper closed. • You had better zip your jacket up. • You had better zip up your jacket. 3. Sl. to close one’s mouth. (Fig. on W.) • Zip your mouth up, Fred! • Zip up your mouth, Fred.
McGrawhill's American Idioms And Phrasal Verbs