The most common and most likely answer to this crossword clue is the 7 letter word BEAT-UP
I've seen this crossword clue in The Guardian
B
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A
T
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More clues leading to the result BEAT-UP
Buddy explains!

The straight part
We know that "Worn out" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case worn out = beat-up.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 BEAT-UP mean?
BEAT-UP noun- An artificially or disingenuously manufactured outcry, usually in the media.
- (chiefly of an object) Worn out by overuse; in a state of disrepair