Does being on the hill make it a high school? (6)

I believe the answer is:

harrow

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'school?' is the definition.
(famous UK public school)

I can't explain the rest of the clue.

(Other definitions for harrow that I've seen before include "A school; agricultural implement" , "Agricultural device" , "Clod breaker" , "Spiked frame for breaking and levelling soil" , "Cultivator that breaks up the soil" .)

I've seen this clue in the Evening Standard.

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