Crossword Genius

Meeting with milk producer in balance uneasily cut short (4-1-4)

Ross

I believe the answer is:

tete-a-tete

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'meeting' is the definition.
(I have seen 'Small meeting' mean 'tete a tete' so perhaps 'meeting' could also mean 'tete a tete')

I can't explain the remainder of the clue.

Can you help me to learn more?

(Other definitions for tete-a-tete that I've seen before include "Private conversation between two French people" , "Informal chat" , "One-to-one meeting" , "Private couple's conversation" , "Private meeting" .)

I've seen this clue in The Times.
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