French heads welcoming a private conversation (4-1-4)
I believe the answer is:
tete-a-tete
'private conversation' is the definition.
(I've seen this before)
'french heads welcoming a' is the wordplay.
'french heads' becomes 'tete tete' ('tete' is 'head' in French).
'welcoming' is an insertion indicator (in sense of 'inviting in').
'tetetete' placed around 'a' is 'TETE-A-TETE'.
(Other definitions for tete-a-tete that I've seen before include "Private conversation between two people as in France" , "Private meeting" , "One-to-one meeting" , "Informal chat" , "Private conversation between two French people" .)