The most common and most likely answer to this crossword clue is the 10 letter word METACENTRE
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The straight part
We know that "a point of intersection" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case a point of intersection = metacentre.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 METACENTRE mean?
METACENTRE noun- A midway point between a ship's centre of buoyancy when upright and its centre of buoyancy when tilted; it must be above the centre of gravity to enable a tilting ship to return to an upright position.