Eager to hearten pedagogues (4)

I believe the answer is:

agog

I'm a little stuck... Click here to teach me more about this clue!

'eager' is the definition.
(I've seen this in another clue)

'hearten pedagogues' is the wordplay.
'AGOG' is hidden in amongst the letters.
But, I'm unsure how the hidden word is indicated.

'to' is the link.

Can you help me to learn more?

(Other definitions for agog that I've seen before include "Eager and wide-eyed" , "On tenterhooks" , "Full of excitement" , "In state of wide-eyed expectancy" , "Enthusiastic" .)

I've seen this clue in the Evening Standard.

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