The most common and most likely answer to this crossword clue is the 3 plus 3 letter word EGG BOX
I've seen this crossword clue in Financial Times
E
G
G
B
O
X
Buddy explains!

The straight part
We know that "One keeps items originally found in layers" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one keeps items originally found in layers = egg box.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.