The most common and most likely answer to this crossword clue is the 8 letter word BIGMOUTH
I've seen this crossword clue in The Sunday Telegraph
B
I
G
M
O
U
T
H
More clues leading to the result BIGMOUTH
Buddy explains!

The straight part
We know that "gossip" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case gossip = bigmouth.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 BIGMOUTH mean?
BIGMOUTH noun- One who talks too much or says things which should not be said.
- Applied to various creatures that have a large mouth.