Songbird with the French name (5)
I believe the answer is:
title
'name' is the definition.
(I've seen this before)
'songbird with the french' is the wordplay.
'songbird' becomes 'tit' (I've seen this before).
'with' says to put letters next to each other.
'the french' becomes 'le'.
'tit'+'le'='TITLE'
(Other definitions for title that I've seen before include "Name, honorific" , "Chapter heading" , "Proprietorship" , "Right to possession" , "Sign of nobility or name of a work" .)