The most common and most likely answer to this crossword clue is the 8 letter word STRATIFY
I've seen this crossword clue in The Times
S
T
R
A
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More clues leading to the result STRATIFY
Buddy explains!

The straight part
We know that "Make several levels" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case make several levels = stratify.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 STRATIFY mean?
STRATIFY verb- To become separated out into distinct layers or strata.
- To separate out into distinct layers or strata.