Crossword Genius

Muddled info on period of hire (6)

Ross

I believe the answer is:

engage

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'hire' is the definition.
(I know that hire can be written as engage)

'muddled info on period' is the wordplay.
'muddled info on' becomes 'eng' (I am not sure about this - if you are sure you should believe this answer much more).
'period' becomes 'age' (age is a kind of period).
'eng'+'age'='ENGAGE'

'of' acts as a link.

Can you help me to learn more?

(Other definitions for engage that I've seen before include "Become bound; attract" , "Take into employment or occupy attention" , "having to start a battle" , "Take someone on as a worker" , "Take on, hire" .)

I've seen this clue in The Mirror.
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