One's beginning with some French poems (4)
I believe the answer is:
odes
'poems' is the definition.
(ode is a kind of poem)
'one's beginning with some french' is the wordplay.
'beginning' indicates taking the first letters.
'with' means one lot of letters go next to another.
'some french' becomes 'des' ('some' in French).
The initial letter of 'ones' is 'o'.
'o'+'des'='ODES'
(Other definitions for odes that I've seen before include "Poets write them" , "Verses" , "Lays" , "Keats was fond of them" , "verse" .)