German city contracted one mate working for it? (9)

I believe the answer is:

municipal

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'working for it?' is the definition.
I can't tell whether this definition defines the answer.

'german city contracted one mate' is the wordplay.
'german city' becomes 'Munich' (city in Germany).
'contracted' means to remove the last letter (to contract is to shorten).
'one' becomes 'i' (Roman numeral).
'mate' becomes 'pal' (I've seen this before).
'munich' with its final letter taken off is 'munic'.
'munic'+'i'+'pal'='MUNICIPAL'

Can you help me to learn more?

(Other definitions for municipal that I've seen before include "of one's town" , "Run by the council" , "Relating to a town or district" , "Relating to a town/district with local government" , "Borough" .)

I've seen this clue in The Times.

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