After this, my teaching days are over, my sweet! (4,6)

I believe the answer is:

last course

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

'days are over my sweet' is the definition.
I don't know anything about this answer so I can't tell whether this works.

'after this my teaching' is the wordplay.
'after' says to put letters next to each other.
'this my' becomes 'last' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'teaching' becomes 'course' (course is a kind of teaching).
'last' next to 'course' is 'LAST COURSE'.

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I've seen this clue in the Evening Standard.

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