The most common and most likely answer to this crossword clue is the 8 letter word BRITTANY
I've seen this crossword clue in The Times
B
R
I
T
T
A
N
Y
More clues leading to the result BRITTANY
- Temperature attracting cheers in the sea in part of France
- Dry area sinking into sea somewhere across the Channel
- Music award function yet to begin somewhere in France
- Part of France – is it like the UK say?
- Sea swamps rising American telecom company in part of France
- Bit of France – area by point it ends in the sea
- Sea walls in tatters torn apart, initially, somewhere in north-western France
- Fractured rib racing with bikes on some French peninsula
Buddy explains!

The straight part
We know that "part of France" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case part of france = brittany.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.