The most common and most likely answer to this crossword clue is the 4 plus 9 letter word AREA FIFTY-ONE
I've seen this crossword clue in The Guardian
A
R
E
A
F
I
F
T
Y
-
O
N
E
Buddy explains!
The straight part
We know that "Mysterious place" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case mysterious place = area fifty-one.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.