The most common and most likely answer to this crossword clue is the 4 plus 2 plus 5 letter word TELL NO TALES
I've seen this crossword clue in The Daily Telegraph
T
E
L
L
N
O
T
A
L
E
S
Buddy explains!
The straight part
We know that "What dead men do" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case what dead men do = tell no tales.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.