The most common and most likely answer to this crossword clue is the 4 letter word BRIT
I've seen this crossword clue in The Guardian
B
R
I
T
More clues leading to the result BRIT
Buddy explains!

The straight part
We know that "one from these shores" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one from these shores = brit.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.
What does BRIT mean?
BRIT verb- To break in pieces; divide.
- To bruise; indent.
- To fall out or shatter (as overripe hops or grain).
- To fade away; alter.
- One of the young of herrings, sprats, etc.
- One of the tiny crustaceans, of the genus Calanus, that are part of the diet of right whales.
- Brit milah