wrap up phrasal verb ( see also ↑ wrap )
1 . to put on warm clothes
wrap up warm/well
Make sure you wrap up warm – it’s freezing.
be wrapped up in something
She was wrapped up in a thick winter coat.
2 . wrap something ↔ up informal to finish a job, meeting etc:
We’re hoping to wrap up the negotiations this week.
3 . be wrapped up in something to give so much of your attention to something that you do not have time for anything else