Crossword Genius

Constrain president to provide transport for the young (9)

Ross

I believe the answer is:

pushchair

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'provide transport for the young' is the definition.
I can't judge whether this definition defines the answer.

'constrain president' is the wordplay.
'constrain' becomes 'push' (I can't explain this - if you can you should believe this answer much more).
'president' becomes 'chair' (synonyms).
'push'+'chair'='PUSHCHAIR'

'to' acts as a link.

Can you help me to learn more?

(Other definitions for pushchair that I've seen before include "Baby transport" , "Baby mover" , "transport for youngster" .)

I've seen this clue in The Times.
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