There is no one answer to this question as the term "jazz style" can mean different things to different people. In general, though, jazz style poetry is characterized by a free-flowing, improvisational quality, with plenty of room for personal expression. This type of poetry often makes use of wordplay, puns, and other playful language devices, and is often delivered in a performance-based setting.
If you're interested in exploring jazz style poetry further, there are lots of great resources available online. This article from Poetry Foundation is a good starting point: https://www.poetryfoundation.org/articles/69272/jazz-poetry