The phrase "a unique interest in" is correct and usable in written English.
You can use it to describe a specific and distinctive fascination or curiosity about a particular subject or topic.
Example: "She has a unique interest in ancient civilizations, which drives her to explore archaeological sites around the world."
Alternatives: "a distinct passion for" or "a special fascination with".
I took (albeit naively) a unique interest in trying to directly help Tito be successful, something I never attempted with any other manager in the major leagues.
My ex suddenly developed a unique interest in my personal collections, and insisted we split everything or sell it in a tag sale.
Israel, of course, has a unique interest in Egypt.
Anything he says that makes you feel special and that shows he's taken a unique interest in you can tell you that he's really into you.
Given the unique interest in Xenopus as a model laboratory organism, it is necessary to consider hitherto unused regions of the mtDNA that may be of use as molecular markers.
The connection between these two cyclic systems has unique interest in the context of aberrant cell proliferation since both of these oscillators are frequently misregulated in cancer cells.
"The states have always been recognized as having unique interests in regulating alcohol," said Randy M. Mastro, a partner in the law firm of Gibson, Dunn & Crutcher, and one of the lead lawyers defending the New York law.
So amid all the talk of missiles and marathons, it is worth noting the story of the memorial stone, which points to older, deeper issues at work here in Northeast Asia – and to China's unique interests in the region.
Last week, 21 Attorneys General wrote: "The states and territories have a unique and pressing interest in a full and functioning Supreme Court.
Obama has often expressed the view that America has a unique opportunity and an abiding interest in helping achieve these goals.
This is particularly convenient as there is a public interest in unique works of art by significant artists being held in galleries that can conserve and display them.
