The most common and most likely answer to this crossword clue is the 5 letter word SHIRE
I've seen this crossword clue in The Times
S
H
I
R
E
More clues leading to the result SHIRE
- Beds, for example, or large, heavy drawer
- Quiet anger in part of the country
- Henry – your Majesty – touring the county
- County person having a fling, noisily
- Berks perhaps feeding heroin to father
- Horse let out after first hint of sunshine
- Northants nearly lose – one run in it
- County parish Ireland sheltered
Buddy explains!

The straight part
We know that "part of the country" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case part of the country = shire.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 SHIRE mean?
SHIRE noun- Physical area administered by a sheriff.
- Former administrative area of Britain; a county.
- The general area in which a person lives or comes from, used in the context of travel within the United Kingdom.
- A rural or outer suburban local government area of Australia.
- A shire horse.
- To (re)constitute as one or more shires or counties.