The most common and most likely answer to this crossword clue is the 8 plus 7 letter word AIR-RAID SHELTER
I've seen this crossword clue in The Guardian
A
I
R
-
R
A
I
D
S
H
E
L
T
E
R
Buddy explains!
The straight part
We know that "Wartime provision" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case wartime provision = air-raid shelter.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.