I wonder if it's grammatically or stylistically correct to start a sentence with "Where"
e.g. Where the wardrobe is, there is no dust"
It sounds a bit weird to my ear but I don't know exactly why.
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Where the wardrobe is, there is no dust.
What you wrote is called a Complex Sentence. It has one main (independent) clause and one subordinate (dependent) clause.
Main clause: there is no dust [As you can see, an independent clause can stand on its own as a sentence.]
Dependent: Where the wardrobe is
The dependent clause is an adverb dependent clause that acts like an adverb modifying the verb "is" in the main clause. It answers what an adverb may ask, "Where?" "Where is there no dust?" Where the wardrobe is. [There is, where the wardrobe is, no dust.]
All you did was move the clause to the beginning of the sentence, and when you do that you usually add a comma. If you place it in the usual position, the sentence becomes clearer:
There is no dust where the wardrobe is.
Used as a subordinating conjunction in your sentence, where means: at, in, or to the place indicated --Webster's.
In your sentence "the place indicated" is where the wardrobe is kept, maybe an air-tight closet, well sealed to keep out the dust and moisture.
"Where the vulture are, there lies the carcass."