Blatant need to run round, preoccupied (9)

I believe the answer is:

engrossed

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

'preoccupied' is the definition.
(I've seen this before)

'blatant need to run round' is the wordplay.
'blatant' becomes 'gross' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'to run' is an anagram indicator.
'round' means one lot of letters goes inside another.
'need' anagrammed gives 'ened'.
'gross' going inside 'ened' is 'ENGROSSED'.

Can you help me to learn more?

(Other definitions for engrossed that I've seen before include "Totally absorbed" , "'Rapt, immersed (9)'" , "Wrapt, immersed" , "Deeply engaged" , "Captive" .)

I've seen this clue in The Mirror and The Daily Express.

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.