Blatant need to run round, preoccupied (9)

I believe the answer is:

engrossed

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'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' put within '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.

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