Finished public school, reportedly (5)

I believe the answer is:

eaten

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'finished public' is the definition.
Both the definition and answer are adjectives. Perhaps they are linked in a way I don't understand?

'school reportedly' is the wordplay.
'school' becomes 'eton' (famous UK public school).
'reportedly' indicates a 'sounds like' (homophone) clue.
'eton' is a homophone of 'EATEN'.

Can you help me to learn more?

(Other definitions for eaten that I've seen before include "dined" , "demolished, possibly" , "worried" , "courses enjoyed?" , "Crammed" .)

I've seen this clue in The Telegraph.

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