The most common and most likely answer to this crossword clue is the 11 letter word TEACHERSHIP
T
E
A
C
H
E
R
S
H
I
P
Buddy explains!
The straight part
We know that "post at school" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case post at school = teachership.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.