Crossword Genius

Daydream influenced by a region of France? (14)

Ross

I believe the answer is:

departmentally

I'm a little stuck... Click here to teach me more about this clue!

'daydream influenced by a' is the definition.
I can't judge whether this definition defines the answer.

'region of france?' is the wordplay.
I cannot quite see how this works, but
'region' could be 'part' (synonyms) and 'part' is found within the answer.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for departmentally that I've seen before include "how a big firm should be organised?" , "In small groups" .)

I've seen this clue in The Times and The Sunday Times.
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