The most common and most likely answer to this crossword clue is the 10 letter word COMMITTEES
I've seen this crossword clue in Independent
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More clues leading to the result COMMITTEES
Buddy explains!

The straight part
We know that "Appointed groups" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case appointed groups = committees.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 COMMITTEES mean?
COMMITTEES noun- A body of one or more persons convened for the accomplishment of some specific purpose, typically with formal protocols.
- A guardian; someone in charge of another person deemed to be unable to look after himself or herself.