Crossword Genius

Institution known for balancing the books? (9,6)

Ross

I believe the answer is:

finishing school

I'm a little stuck... Click here to teach me more about this clue!

'known for balancing the books?' is the definition.
I can't tell whether this definition defines the answer.

'institution' is the wordplay.
I cannot really see how this works, but
'institution' could be 'school' (school is a kind of institution) and 'school' is present in the answer.
The remaining letters 'finishing' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for finishing school that I've seen before include "breaking up?" , "that trains young ladies" , "Private college for girls" , "Educational establishment" .)

I've seen this clue in The Sunday Times and The Times.
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