The most common and most likely answer to this crossword clue is the 4 plus 5 letter word ITTY BITTY
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The straight part
We know that "Lilliputian" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case lilliputian = itty bitty.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 ITTY BITTY mean?
ITTY BITTY adjective- Very small; minuscule.