The most common and most likely answer to this crossword clue is the 5 letter word TRYST
I've seen this crossword clue in The Times
T
R
Y
S
T
More clues leading to the result TRYST
- Judge and godly type meeting
- In poetry, star-crossed lovers’ meeting
- Taste skin of succulent date
- Hear hard men are thrown out of short meeting
- Meeting with Tory's too utterly devoid of love
- Meeting of lovers in country station
- Street supporting choice cattle-fair
- Go on site regularly for meeting
- Rely on unknown to be brought in for union meeting
- Stormy, is it? After regular cancellations, agree to meet
Buddy explains!

The straight part
We know that "date" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case date = tryst.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 TRYST mean?
TRYST noun- A prearranged meeting or assignation, now especially between lovers to meet at a specific place and time.
- A mutual agreement, a covenant.
- To make a tryst; to agree to meet at a place.
- To arrange or appoint (a meeting time etc.).
- To keep a tryst, to meet at an agreed place and time.