The most common and most likely answer to this crossword clue is the 10 letter word DESOLATION
I've seen this crossword clue in The Guardian
D
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More clues leading to the result DESOLATION
Buddy explains!

The straight part
We know that "barren state" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case barren state = desolation.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 DESOLATION mean?
DESOLATION noun- The act of desolating or laying waste; destruction of inhabitants; depopulation.
- The state of being desolated or laid waste
- A place or country wasted and forsaken.