Fresh, popular part of the English Channel (8)

I believe the answer is:

insolent

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'fresh' is the definition.
(fresh can mean rude or disrespectful)

'popular part of the english channel' is the wordplay.
'popular' becomes 'in' ('in' can mean trendy).
'part of the english channel' becomes 'solent' (I can't explain this - if you can you should believe this answer much more).
'in'+'solent'='INSOLENT'

Can you help me to learn more?

(Other definitions for insolent that I've seen before include "Rudely disrespectful" , "Pert" , "Bold" , "Saucy" , "Impudent and disrespectful" .)

I've seen this clue in The Independent.

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