The most common and most likely answer to this crossword clue is the 3 plus 4 letter word ATE DIRT
I've seen this crossword clue in The Guardian
A
T
E
D
I
R
T
More clues leading to the result ATE DIRT
Buddy explains!
The straight part
We know that "bit the dust /bit the dust" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case bit the dust /bit the dust = ate dirt.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.