Engineer has organic eggs, starts to swallow greedily (7)

I believe the answer is:

engorge

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'swallow greedily' is the definition.
(I've seen this in another clue)

'engineer has organic eggs starts' is the wordplay.
'engineer' becomes 'eng' (abbreviation).
'has' means one lot of letters go next to another.
'organic' becomes 'org' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'starts' suggests taking the first letters.
The initial letter of 'eggs' is 'e'.
'eng'+'org'+'e'='ENGORGE'

'to' acts as a link.

Can you help me to learn more?

(Other definitions for engorge that I've seen before include "Overeat" , "Guzzle" , "Swell with blood, water, etc" , "Cause to swell with fluid" , "Eat immodestly" .)

I've seen this clue in the Sydney Morning Herald.

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