Drove or sped in the modern fashion (7)

I believe the answer is:

motored

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'drove' is the definition.
('motor' can be a synonym of 'drive')

'sped in the modern fashion' is the wordplay.
'sped' becomes 'tore' (tearing is a kind of speeding).
'in' means one lot of letters goes inside another.
'the modern fashion' becomes 'mod' (I can't explain this - if you can you should believe this answer much more).
'tore' going within 'mod' is 'MOTORED'.

'or' acts as a link.

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I've seen this clue in the Evening Standard.

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