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Begs forgiveness for what Alsatian in the security business is looking for (10)

Ross

I believe the answer is:

trespasser

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'for' is the definition.
Both the answer and definition are singular nouns.
Perhaps they are linked in a way I don't understand?

I don't understand the rest of the clue.

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(Other definitions for trespasser that I've seen before include "One entering land without permission" , "sinner" , "Intruder into another's land" , "Misplaced individual" , "One unlawfully entering another's land" .)

I've seen this clue in the Irish Times and the Irish Times (Crosaire).
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