The French bilge is possibly quite readable (7)
I believe the answer is:
legible
'quite readable' is the definition.
'legible' can be an answer for 'readable' (similar in meaning). I am not certain of the 'quite' bit.
'the french bilge is possibly' is the wordplay.
'the french' becomes 'le' ('the' in French).
'is possibly' is an anagram indicator.
'bilge' with letters rearranged gives 'gible'.
'le'+'gible'='LEGIBLE'
Can you help me to learn more?
(Other definitions for legible that I've seen before include "Well written" , "Clear enough to read" , "Easy to read" , "Decipherable" , "Good characters are" .)