The most common and most likely answer to this crossword clue is the 5 letter word TYROL
I've seen this crossword clue in The Daily Telegraph
T
Y
R
O
L
More clues leading to the result TYROL
- Mountainous region, to the west, Mallory traversed partly
- Student left Alpine region
- Wandering up this mountainous region – poultry?
- Mountainous area recalled in Malory Towers
- Railway in French area going in wrong direction for
- End of flight has upset parrot in mountainous region
- Essentially beautiful parrot species making comeback in mountainous region
- Fortune to incorporate railway climbing mountainous region
- Some of the Bay City Rollers in part of Austria
- Novice student in the Alps
Buddy explains!

The straight part
We know that "mountainous region" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case mountainous region = tyrol.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.