Crossword Genius

Extremely excited having this on the restaurant menu? (4)

Ross

I believe the answer is:

over

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This clue might be a double definition.

'extremely' is the first definition.
(thesaurus)

'excited having this on the restaurant menu?' is the second definition.
'over' can be an answer for 'on' (I've seen this in other clues). I am not sure about the remainder of the definition.

Can you help me to learn more?

(Other definitions for over that I've seen before include "Given too much money" , "Finished, done" , "balls > left" , "settled" , "Finished; six balls" .)

I've seen this clue in The Telegraph.
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