Crossword Genius

A graduate in education, retired possibly (4)

Ross

I believe the answer is:

abed

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

'retired possibly' is the definition.
'abed' can be an answer for 'retired' (I've seen this in another clue). I am not certain of the 'possibly' bit.

'a graduate in education' is the wordplay.
I cannot quite see how this works, but
'a' is found in the answer.
'graduate' could be 'bed' (I've seen this in other clues) and 'bed' is located in the answer.
This accounts for all the letters.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for abed that I've seen before include "going to sleep?" , "in retirement, possibly?" , "Bead (anag.)" , "at rest" , "Yet to rise" .)

I've seen this clue in The Times.
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