The most common and most likely answer to this crossword clue is the 8 letter word CHIN-WAG
I've seen this crossword clue in The Guardian
C
H
I
N
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W
A
G
Buddy explains!
The straight part
We know that "conversation" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case conversation = chin-wag.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 CHIN-WAG mean?
CHIN-WAG noun- An informal conversation, usually about everyday matters; a chat, a gossip.