Fellow feeling extremely happy after lunch drinks served up past noon (7)

I believe the answer is:

empathy

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'fellow feeling' is the definition.
(empathy is a kind of fellow feeling)

I don't understand the rest of the clue.

(Other definitions for empathy that I've seen before include "Ability to identify with another's feelings" , "Intuitive fellow-feeling" , "Psychological identification" , "Ability to share another's feelings" , "Emotional identification" .)

I've seen this clue in The Times.

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