My doctor managed, with time for flier (9)

I believe the answer is:

cormorant

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

'flier' is the definition.
(cormorant is a kind of birdanimal)

'my doctor managed with time' is the wordplay.
'my' becomes 'cor' (I've seen this in other clues).
'doctor' becomes 'mo' (medical officer).
'managed with' becomes 'ran' (I've seen this before. I am not sure about the 'with' bit.**).
'time' becomes 't'.
'cor'+'mo'+'ran'+'t'='CORMORANT'

'for' acts as a link.

Can you help me to learn more?

(Other definitions for cormorant that I've seen before include "Large, voracious seabird" , "Glutton" , "Black diving bird" , "18's [BIRD]" , "Diving coastal bird" .)

I've seen this clue in The Telegraph.

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