Time taken up by mixing delicate drink (4,5)

I believe the answer is:

iced latte

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

'time taken up by mixing' is the definition.
I know nothing about this answer so I cannot judge whether it can be defined by this definition.

'delicate drink' is the wordplay.
'delicate' becomes 'iced' (I can't explain this - if you can you should believe this answer much more).
'drink' becomes 'latte' (type of coffee drink).
'iced'+'latte'='ICED LATTE'

Can you help me to learn more?

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.