The most common and most likely answer to this crossword clue is the 9 letter word CRACKPOTS
I've seen this crossword clue in Financial Times
C
R
A
C
K
P
O
T
S
More clues leading to the result CRACKPOTS
Buddy explains!
The straight part
We know that "eccentrics" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case eccentrics = crackpots.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 CRACKPOTS mean?
CRACKPOTS noun- An eccentric, crazy or foolish person. A kook.
- Someone addicted to crack cocaine (i.e. a drug addict).