The most common and most likely answer to this crossword clue is the 9 letter word SPARINGLY
I've seen this crossword clue in The Sunday Telegraph
S
P
A
R
I
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Y
More clues leading to the result SPARINGLY
Buddy explains!

The straight part
We know that "Very little" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case very little = sparingly.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 SPARINGLY mean?
SPARINGLY adverb- In a sparing manner; with frugality, moderation, scantiness, reserve, forbearance, or the like; sparsely.