Crossword Genius

Start boarding school after end of spring (3,2)

Ross

I believe the answer is:

get on

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'start boarding school after end of spring' is the definition.
I can't tell whether this definition defines the answer.

'school after end of spring' is the wordplay.
'school' becomes 'eton' (famous UK public school).
'after' says to put letters next to each other.
'end of' indicates one should take the final letters.
The last letter of 'spring' is 'g'.
'eton' put after 'g' is 'GET ON'.

Can you help me to learn more?

(Other definitions for get on that I've seen before include "fare" , "What boarders do" , "Make progress or climb aboard" , "Age; prosper" , "Make progress; be friends" .)

I've seen this clue in The Hindu.
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