In France I took one on this month (4)
I believe the answer is:
june
'this month' is the definition.
(June is an example)
'in france i took one' is the wordplay.
I cannot really understand how this works, but
'one' could be 'un' (northern English dialect form of 'one') and 'un' is found in the answer.
'in france i' could be 'je' ('I' in French) and 'je' is located in the leftover letters.
No letters remain.
This explanation may well be incorrect...
'on' acts as a link.
Can you help me to learn more?
(Other definitions for june that I've seen before include "The "flaming" month?" , "Spring/summer month" , "some time" , "Sixth month" , "Month named after Jupiter's wife" .)