Tutor about a month in French region (6)
I believe the answer is:
domain
'region' is the definition.
(I know that domain is a type of region)
'tutor about a month in french' is the wordplay.
'tutor' becomes 'don' (I've seen this in another clue).
'about' is an insertion indicator.
'a month in french' becomes 'mai' (I can't justify this - if you can you should believe this answer much more).
'don' placed around 'mai' is 'DOMAIN'.
Can you help me to learn more?
(Other definitions for domain that I've seen before include "A district sphere of influence" , "Territory over which rule or control is exercised" , "estate" , "Territory over which someone reigns" , "Special region, area of expertise" .)