A clothier? Wrong. A garage mechanic (9)

I believe the answer is:

outfitter

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

'a clothier?' is the definition.
(I've seen this before)

'wrong a garage mechanic' is the wordplay.
'wrong a garage' becomes 'out' (I can't explain this - if you can you should believe this answer much more).
'mechanic' becomes 'fitter' (I've seen this before).
'out'+'fitter'='OUTFITTER'

Can you help me to learn more?

(Other definitions for outfitter that I've seen before include "It suits one" , "One supplies gear" , "Seller of men's clothing" , "Trader" , "Men's clothes shop" .)

I've seen this clue in the Evening Standard.

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