Went off after nonsense pushed through (9)

I believe the answer is:

bulldozed

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'went off' is the definition.
The answer and definition can be both to do with contact as well as being past participle verbs.
Maybe they are linked in a way I don't understand?

'nonsense pushed through' is the wordplay.
'nonsense' becomes 'bull' (I've seen this before).
'pushed through' becomes 'dozed' (I can't explain this - if you can you should believe this answer much more).
'bull'+'dozed'='BULLDOZED'

'after' is the link.

Can you help me to learn more?

(Another definition for bulldozed that I've seen is " flattened".)

I've seen this clue in The Independent.

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