Drawing blood, lymph too, busy nurses conclude job at last (10)

I believe the answer is:

phlebotomy

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

'drawing blood' is the definition.
'phlebotomy' can be an answer for 'drawing' (thesaurus). I am not sure about the 'blood' bit.

'lymph too busy nurses conclude job at last' is the wordplay.
'busy' indicates anagramming the letters.
'nurses' indicates putting letters inside (nurse can mean to hold onto or harbour).
'at last' says to take the final letters.
The final letters of 'conclude job' are 'eb'.
'lymph'+'too'='lymphtoo'
'lymphtoo' anagrammed gives 'phlotomy'.
'phlotomy' placed around 'eb' is 'PHLEBOTOMY'.

Can you help me to learn more?

(Another definition for phlebotomy that I've seen is " taking blood".)

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.