It's possible that:
* It's a variation of another name: There are many names that sound similar to "Luzine," such as "Luz," "Luisa," or "Lucien," which might have distinct meanings.
* It's a unique family name: Some families may have created the name "Luzine" without any specific meaning.
* It's a fictional name: The name "Luzine" might have appeared in a book, movie, or other work of fiction.
If you're curious about the origin of the name, it's best to ask the person who has the name or do some research into their family history.