Which mountain homes have broken latches? (7)

I believe the answer is:

chalets

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

'which mountain homes' is the definition.
I can't judge whether this defines the answer.

'broken latches?' is the wordplay.
'broken' is an anagram indicator.
'latches' anagrammed gives 'CHALETS'.

'have' is the link.

Can you help me to learn more?

(Other definitions for chalets that I've seen before include "Swiss Alpine houses" , "Swiss hillside houses" , "Satchel (anag)" , "Houses in snowy Alpine regions" .)

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

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