Swallowed up by Gallinago gallinago waiting with bated breath (4)

I believe the answer is:

agog

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'waiting with bated breath' is the definition.
(I've seen this in another clue)

'swallowed up by gallinago gallinago' is the wordplay.
'AGOG' is hidden in amongst the letters.
However, I'm not sure how the hidden word is indicated.

Can you help me to learn more?

(Other definitions for agog that I've seen before include "Excitedly eager" , "State of wide-eyed wonder" , "Highly excited in anticipation" , "Wide-eyed in anticipation" , "Expectant, eager" .)

I've seen this clue in The Irish Times.

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