The most common and most likely answer to this crossword clue is the 7 letter word TUSKERS
T
U
S
K
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S
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The straight part
We know that "ivory holders" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case ivory holders = tuskers.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 TUSKERS mean?
TUSKERS noun- An animal, such as a bull elephant or a boar, with large tusks.
- A tool used in peat cutting.