The most common and most likely answer to this crossword clue is the 10 letter word TAIL-ENDER
I've seen this crossword clue in The Guardian
T
A
I
L
-
E
N
D
E
R
More clues leading to the result TAIL-ENDER
Buddy explains!

The straight part
We know that "Rabbit hoping to avoid duck" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case rabbit hoping to avoid duck = tail-ender.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 TAIL-ENDER mean?
TAIL-ENDER noun- One of the last four or five batsmen in the batting order, normally bowlers with limited batting ability; a member of the tail.