The most common and most likely answer to this crossword clue is the 11 letter word FRAGMENTARY
I've seen this crossword clue in The Daily Telegraph
F
R
A
G
M
E
N
T
A
R
Y
More clues leading to the result FRAGMENTARY
- Scrappy fight involving FBI agents and sailor
- Hemmed in by youngsters, great man falls apart, broken
- Scattered silver pieces sailor found among fish
- In pieces, garment torn up in brawl
- After gym, ran about getting disjointed
- Time taken by ferryman, strangely, accepting silver in pieces
- After gym, ran out incoherent
Buddy explains!

The straight part
We know that "broken" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case broken = fragmentary.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 FRAGMENTARY mean?
FRAGMENTARY adjective- Consisting of fragments; disconnected; scattered.
- Composed of the fragments of other rocks.