Crossword Genius

A short cut's how he zippily gets home (10,5)

Ross

I believe the answer is:

chatsworth house

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'a short cut's how he zippily gets home' is the definition.
I know nothing about this answer so I cannot judge whether it can be defined by this definition.

'a short cut's how he zippily gets home' is the wordplay.
'a short cut's how he' anagrams to 'CHATSWORTH HOUSE'.
However, I am unsure how this is indicated.

Can you help me to learn more?

(Another definition for chatsworth house that I've seen is " mansion".)

I've seen this clue in The Telegraph.
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