Train badly to spray a person? (8)

I believe the answer is:

misteach

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'train badly to spray a person?' is the definition.
I can't judge whether this defines the answer.

'train badly to spray' is the wordplay.
'train badly' becomes 'each' (I can't explain this - if you can you should give a lot more credence to this answer).
'to' is a charade indicator (letters next to each other) (I've seen this in other clues).
'spray' becomes 'mist' (misting is a kind of spraying).
'each' after 'mist' is 'MISTEACH'.

Can you help me to learn more?

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

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