The most common and most likely answer to this crossword clue is the 7 plus 3 letter word STIRRUP CUP
I've seen this crossword clue in The Guardian
S
T
I
R
R
U
P
C
U
P
More clues leading to the result STIRRUP CUP
- Rider’s parting shot?
- Which person up on a horse is invited to get down?
- Hard stuff for one saddled with Chaucer primarily - bone up about it
- Incite about game on computer and parting drink
- Hunt member’s parting shot?
- Leaving drink in can to one side: winning prize
- Huntsman’s parting shot?
- Drink before riding about on a horse after bad trips tackling short run
- Drink up
- Rip up crust in slices for a rider’s refreshment
Buddy explains!
The straight part
We know that "Leaving drink" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case leaving drink = stirrup cup.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.