Hardly the place to live in style! (3)

I believe the answer is:

sty

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'style' is the definition.
The answer and definition can be both man-made objects as well as being singular nouns.
Perhaps there's a link between them I don't understand?

I don't understand the rest of the clue.

Can you help me to learn more?

(Other definitions for sty that I've seen before include "Pigs' pen" , "Pig's enclosure" , "Hog house" , "Pig pen" , "Porcine pen" .)

I've seen this clue in the Evening Standard.

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