What does "wrap" mean?

In addition to the idiom beginning with wrap, also see twist (wrap) around one's finger; under wraps.

See wrap in WNW Idioms

wrapped up in

  1. devoted to; absorbed or engrossed in (work, etc.)
  2. involved or implicated in

wrap up

  1. to enfold in a covering
  2. to put on warm clothing
  3. ☆ Informal
    1. to bring to an end; make final; conclude; settle
    2. to give a concluding, summarizing statement, report, etc.

See wrap in American Heritage Dictionary 4 Idioms

under wraps

Informal
Secret or concealed: “The news was kept under wraps for the three-day weekend” (Boston Globe).

wrapped up in

  1. Completely immersed or absorbed in: She is wrapped up in her studies.
  2. Involved in: They were wrapped up in criminal activities.

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