The most common and most likely answer to this crossword clue is the 5 plus 5 letter word THINK TANKS
I've seen this crossword clue in The Times
T
H
I
N
K
T
A
N
K
S
More clues leading to the result THINK TANKS
Buddy explains!
The straight part
We know that "Expert groups" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case expert groups = think tanks.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.