A run in silk stockings? (6)

I believe the answer is:

ladder

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'a run' is the definition.
(both can mean a rip in tights)

I don't understand the remainder of the clue.

(Other definitions for ladder that I've seen before include "Household climbing device or tear in stocking" , "squash club ranking?" , "Set of steps" , "sometimes with companion" , "A run in a stocking" .)

I've seen this clue in The Irish News.

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