The neckwear I have picked up for a drink (3,3)

I believe the answer is:

mai tai

I'm a little stuck... Click here to teach me more about this clue!

'for a drink' is the definition.
(thesaurus)

I can't explain the rest of the clue.

(Other definitions for mai tai that I've seen before include "Cocktail" , "drink?" .)

I've seen this clue in The Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.