The most common and most likely answer to this crossword clue is the 4 letter word GEAN
I've seen this crossword clue in The Times
G
E
A
N
More clues leading to the result GEAN
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The straight part
We know that "production of The Cherry Orchard" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case production of the cherry orchard = gean.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 GEAN mean?
GEAN noun- A wild cherry tree, Prunus avium, native to Europe and western Asia or its small, dark fruit.