Private conversation between two people (4-1-4)
I believe the answer is:
tete-a-tete
'private conversation between two people' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for tete-a-tete that I've seen before include "Private conversation between two people as in France" , "Informal chat" , "Private couple's conversation" , "Private meeting" , "One-to-one meeting" .)