The most common and most likely answer to this crossword clue is the 15 letter word IDENTIFICATIONS
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Buddy explains!

The straight part
We know that "Names" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case names = identifications.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 IDENTIFICATIONS mean?
IDENTIFICATIONS noun- The act of identifying, or proving to be the same.
- The state of being identified.
- A particular instance of identifying something.
- A document or documents serving as evidence of a person's identity.
- A feeling of support, sympathy, understanding or belonging towards somebody or something.