The phrase "uniquely interesting" is correct and usable in written English.
You can use it to describe something that is fascinating or intriguing in a way that sets it apart from other things. Example: The architecture of the building was uniquely interesting, with a combination of modern and traditional elements that captured the attention of tourists from all over the world.
"The tacit undercurrent of her argument, as I felt it, was that Gallop's maternity had rotted her mind — besotted it with a narcissism that makes one think that an utterly ordinary experience shared by countless others is somehow unique, or uniquely interesting".
Whatever else happens, it will be a uniquely interesting mix.
He led a uniquely interesting life characterized by both business success and helping those in need.
Because it struck me that there were aspects of my gay life that were uniquely interesting, funny and sometimes tragic.
"What's uniquely interesting about people who are transgender is this exploration of a truth that is not evident within the lexicon of society at large".
The only thing that came to mind was that the human mind is uniquely interesting and that as soon as I learned you could study it for a living, I knew that that was what I wanted to do.
The success of The Osbournes may have less to do with Ozzy's stardom and the show's admirable expletive count than the fact that it is a reality-television series with, uniquely, an interesting and empathetic set of characters at its core.
Chloe: "Paulo Melim Andersson, cannot create a look that is either uniquely Chloé or interesting".
Every weapon plays uniquely, all have interesting alternate fire modes, my favorite of which is probably the revolver, which embeds bullets in enemies or the environment and then lets you detonate them.
Annotations was a much more interesting and uniquely Twitter-ish approach to more robust tweets.
One interesting, and uniquely Southeast Asian, phenomenon is "shadow marketplaces".
