Private conversation (4-1-4)
I believe the answer is:
tete-a-tete
'private conversation' 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 "Informal chat" , "Private conversation between two French people" , "Private conversation between two people as in France" , "One-to-one meeting" , "Private meeting" .)