Crossword Genius

Assignment bound to end in dishonourable discharge (8)

Ross

I believe the answer is:

emission

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

'discharge' is the definition.
(I know that discharge can be written as emission)

'assignment bound to end in dishonourable' is the wordplay.
I cannot really understand how this works, but
'assignment' could be 'mission' (mission is a kind of assignment) and 'mission' is present in the answer.
A single letter 'e' remains which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for emission that I've seen before include "Is in some (anag) - discharge" , "radiation leakage?" , "Release" , "Something given out" , "Sending forth" .)

I've seen this clue in The Times and The Sunday Times.
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