Eavesdropping finished session (11)

I believe the answer is:

overhearing

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'eavesdropping' is the definition.
The answer and definition can be both to do with perception as well as being present participle verbs.
Maybe there's an association between them I don't understand?

'finished session' is the wordplay.
'finished' becomes 'over' (over can mean finished or ended).
'session' becomes 'hearing' (I can't explain this - if you can you should give a lot more credence to this answer).
'over'+'hearing'='OVERHEARING'

Can you help me to learn more?

I've seen this clue in The Daily Express.

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