The most common and most likely answer to this crossword clue is the 7 letter word BLACKEN
I've seen this crossword clue in The Daily Telegraph
B
L
A
C
K
E
N
More clues leading to the result BLACKEN
Buddy explains!
The straight part
We know that "Run down" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case run down = blacken.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 BLACKEN mean?
BLACKEN verb- (causative) To cause to be or become black.
- To become black.
- (causative) To make dirty.
- To defame or sully.
- To cook (meat or fish) by coating with pepper, etc., and quickly searing in a hot pan.