The most common and most likely answer to this crossword clue is the 6 plus 6 letter word REMAND CENTRE
R
E
M
A
N
D
C
E
N
T
R
E
Buddy explains!
The straight part
We know that "Place of detention" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case place of detention = remand centre.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.