Cleaner trapping father over eavesdropper (10)

I believe the answer is:

wiretapper

'eavesdropper' is the definition.

'cleaner trapping father over' is the wordplay.
'cleaner' becomes 'wiper' (I've seen this before**).
'trapping' is an insertion indicator.
'father' becomes 'pater' (old-fashioned term for father).
'over' is a reversal indicator.
'pater' reversed gives 'retap'.
'wiper' going around 'retap' is 'WIRETAPPER'.

(Another definition for wiretapper that I've seen is " It bugs".)

I've seen this clue in The Times.

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