City dwelling without foundation not rebuilt (7)

I believe the answer is:

houston

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

'city' is the definition.
(Houston is an example)

'dwelling without foundation not rebuilt' is the wordplay.
I cannot really understand how this works, but
an anagram of 'not' is 'ton' which is located in the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for houston that I've seen before include "Texan port" , "Texan city is no south" , "American place" , "Oh, not us! (anag) - US city" , "No shout out for Texan city" .)

I've seen this clue in The Times.

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