The most common and most likely answer to this crossword clue is the 10 letter word HALF-TE~RM
I've seen this crossword clue in The Guardian
H
A
L
F
-
T
E
~
R
M
Buddy explains!
The straight part
We know that "Break time at school?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case break time at school? = half-te~rm.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 HALF-TE~RM mean?
HALF-TE~RM noun- A short school holiday in the middle of the term.
- Pertaining to the half term school holiday.