'exuberant interest' is correct and can be used in written English.
You can use it to describe someone's enthusiasm about something. For example, "Jill displayed an exuberant interest in learning about astronomy."
Such an innovation created an exuberant special interest group dedicated to the Sony platform and further embattled Sega.
The group's crafty but exuberant sound attracted the interest of a wide array of artists, including Chic founder Nile Rodgers, who teamed with Disclosure and Smith for a slinky 2013 single called "Together," and the R&B superstar Usher, who drafted the Lawrences to remix his song "Good Kisser".
In the 10 years that we were close friends what struck me forcibly about Joe was both his benevolence — his remarkable humanity, his disdain for anyone who displayed mediocrity of spirit — and the exuberant catholicism of his interests.
Brushing off his legal troubles as the price of taking on powerful interests, an exuberant John C. Liu, the city comptroller, officially began his campaign for mayor on Sunday with a vow to represent the "100 percent," not "the 1 percent".
Among this summer's participants, Mathieu Peyroulet Ghilini has produced an ingenious series of trestle tables in an elegantly rational style, while Laureline Galliot's exuberant objects reflect the growing interest of young designers in experimenting with handcraftsmanship.
To serve as spiritual leader of Long Island's 1.5 million Roman Catholics, Pope John Paul II today appointed William Francis Murphy, an auxiliary bishop in Boston described by his colleagues as a smart, exuberant man with a deep interest in social justice.
Versace's life and interests reflected this exuberant blend.
In October 1868, La Périchole marked a transition in Offenbach's style, with less exuberant satire and more human romantic interest.
I was interested in making an exuberant celebration of an entertainer in a way that would be uplifting for an audience".
Much of the growth over the past decade reflected the windfall of cheap euro interest rates, which stoked an exuberant consumer market, complete with smart cars, foreign travel and personal trainers.
