The most common and most likely answer to this crossword clue is the 9 letter word STATUETTE
I've seen this crossword clue in The Daily Telegraph
S
T
A
T
U
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T
T
E
More clues leading to the result STATUETTE
- Ends in the Government blocking law award?
- Small figure's fat, eating junk outside of teahouse
- Figure alien must be breaking law
- Lesser figure ends in juvenile court, having broken law
- Likeness of alien suppressed by legal order
- The law imprisons characters at extremes of unacceptable deportment, such as Oscar?
- Fat, eating rubbish? Time I’m sent away to get a petite figure
- Act’s arresting sets exposed little bust
- Act to secure Spielberg film an Oscar perhaps
- Liberty perhaps, reduced
Buddy explains!

The straight part
We know that "little bust" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case little bust = statuette.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 STATUETTE mean?
STATUETTE noun- A small statue, usually a figure much less than life size, especially when of marble or bronze, or of plaster or clay as a preparation for the marble or bronze, as distinguished from a figure in terra cotta etc.