Districts have one on a Saturday (5)

I believe the answer is:

areas

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'districts have' is the definition.
'areas' can be an answer for 'districts' (I've seen this in another clue). I am not certain of the 'have' bit.

'one on a saturday' is the wordplay.
'one on' says to put letters next to each other.
'a' becomes 'area' (maths abbreviation).
'saturday' becomes 's'.
'area' next to 's' is 'AREAS'.

Can you help me to learn more?

(Other definitions for areas that I've seen before include "Spaces covered by two-dimensional surfaces" , "Places" , "Geographical regions" , "Zones" , "Localities" .)

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

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