The most common and most likely answer to this crossword clue is the 4 plus 2 letter word STAY ON
I've seen this crossword clue in Financial Times
S
T
A
Y
O
N
More clues leading to the result STAY ON
- Remain a while, having nothing nasty to deal with
- Always welcomed, tons moved to extend visit
- Remain a year in county, returning after time away
- “Don’t go!” — appeal that’s heartfelt finally accepted
- Remain after others leave relative to cross river
- Rejig working holiday and get stick
- Tarry rope attached
- Don’t leave the street area over there
- Remain wearing single corset?
- Issue about river will remain for a while
Buddy explains!
The straight part
We know that "delay leaving" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case delay leaving = stay on.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.