Crossword Genius

Institution claims after losing case against company (7)

Ross

I believe the answer is:

college

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

'institution' is the definition.
(college is a kind of institution)

'claims after losing case against company' is the wordplay.
I cannot quite understand how this works, but
'company' could be 'co' (abbreviation) and 'co' is found within the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for college that I've seen before include "SECOND PART OF 20" , "Where to train" , "School" , "Place of learning" , "Institution of learning" .)

I've seen this clue in The Times.
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