Crushes other half's offspring (7)

I believe the answer is:

stepson

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'other half's offspring' is the definition.
(son of a spouse)

I don't understand the rest of the clue.

(Other definitions for stepson that I've seen before include "Subdues" , "underfoot?" , "Child of a spouse by a former marriage" , "No pests about this relation by marriage" , "indirectly related issue" .)

I've seen this clue in The Telegraph.

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