The most common and most likely answer to this crossword clue is the 10 letter word APPENDICES
I've seen this crossword clue in The Guardian
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More clues leading to the result APPENDICES
Buddy explains!
The straight part
We know that "Supplements/that might cause grumbling" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case supplements/that might cause grumbling = appendices.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 APPENDICES mean?
APPENDICES noun- Something attached to something else; an attachment or accompaniment.
- A text added to the end of a book or an article, containing additional information.
- The vermiform appendix, an inner organ that can become inflamed.
- Any process, prolongation or projection.