The most common and most likely answer to this crossword clue is the 5 plus 5 letter word AFTER HOURS
I've seen this crossword clue in The Times
A
F
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More clues leading to the result AFTER HOURS
- Our father's working beyond closing time?
- Looking for what we have broadcast late
- Having endured long wait when shop is closed?
- Minutes might be like this in a countdown outside work time
- Pursuing something we stock? Hard to get in when the shop’s shut
- a Post official time for the USA’s stirring closing run
Buddy explains!

The straight part
We know that "beyond closing time" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case beyond closing time = after hours.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 AFTER HOURS mean?
AFTER HOURS adjective- Taking place after legal closing time.