Annoying by listening to one’s conversation (7)

I believe the answer is:

bugging

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'annoying by listening' is the definition.
'bugging' can be an answer for 'listening' (thesaurus). I'm unsure of the 'annoying by' bit.

I don't understand how the rest of the clue works.

Can you help me to learn more?

I've seen this clue in the Evening Standard.

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