Pet for daughter in London district? (7)

I believe the answer is:

catford

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'london district?' is the definition.
I know nothing about this answer so I can't tell whether it can be defined by this definition.

'pet for daughter' is the wordplay.
'pet' becomes 'cat' (I've seen this in another clue).
'daughter' becomes 'd' (genealogical abbreviation).
'cat'+'for'+'d'='CATFORD'

'in' acts as a link.

Can you help me to learn more?

I've seen this clue in The Independent.

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