The most common and most likely answer to this crossword clue is the 8 plus 5 letter word EUROPEAN UNION
I've seen this crossword clue in Financial Times
E
U
R
O
P
E
A
N
U
N
I
O
N
Buddy explains!
The straight part
We know that "Our neighbours" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case our neighbours = european union.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.