The most common and most likely answer to this crossword clue is the 5 plus 2 plus 3 letter word C’EST LA VIE
I've seen this crossword clue in The Guardian
C
â
€
™
E
S
T
L
A
V
I
E
More clues leading to the result C’EST LA VIE
Buddy explains!
The straight part
We know that "How 7, 11 or 26 across might have announced his resignation?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case how 7, 11 or 26 across might have announced his resignation? = c’est la vie.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.