The most common and most likely answer to this crossword clue is the 8 letter word FORETELL
F
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E
T
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L
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The straight part
We know that "divine" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case divine = foretell.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 FORETELL mean?
FORETELL verb- To predict; to tell (the future) before it occurs; to prophesy.
- To tell (a person) of the future.