The most common and most likely answer to this crossword clue is the 5 plus 8 letter word CZECH REPUBLIC
I've seen this crossword clue in Financial Times
C
Z
E
C
H
R
E
P
U
B
L
I
C
Buddy explains!
The straight part
We know that "Country" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case country = czech republic.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.