Send cheque finally, after it’s due (5)

I believe the answer is:

elate

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

'cheque finally after it's due' is the wordplay.
'finally' suggests the final letters.
'after' means one lot of letters go next to another.
'it's due' becomes 'late' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
The last letter of 'cheque' is 'e'.
'e'+'late'='ELATE'

Can you help me to learn more?

(Other definitions for elate that I've seen before include "transport?" , "Inspirit, make exultant" , "Overjoy" , "Make joyful and proud" , "Make delighted or proud" .)

I've seen this clue in The Times.

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