The most common and most likely answer to this crossword clue is the 8 letter word BACKLIST
I've seen this crossword clue in The Daily Telegraph
B
A
C
K
L
I
S
T
More clues leading to the result BACKLIST
Buddy explains!

The straight part
We know that "previous compositions" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case previous compositions = backlist.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 BACKLIST mean?
BACKLIST noun- A list of older books available from a publisher, as opposed to the frontlist of more recent titles.
- To hold back a student's application (to a college etc.) based on whether a preferred candidate declines their offer.
- To place (a book) on a backlist.