Cryptic crossword clue
Repository of facts acquired by mesmeric Dr O’Malley 1,1,3

The most common and most likely answer to this crossword clue is the 1 plus 1 plus 3 letter word C D ROM

C
D
R
O
M

Buddy explains!

The straight part
We know that "Repository of facts" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case repository of facts = c d rom.
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.

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