Openly criticizing a fellow worker is just 'not my style'. [=I would never openly criticize a fellow worker]
He finished the tournament 'in style' by winning his last match very quickly and easily.
He has been living 'in high style'. [=he has been living the way rich people live]
(..) where we blow up! Not today! Hey, Buzz! You're flyin'! This isn't flying. This is falling with style. To infinity and beyond! Buzz, we missed the truck. We're not aiming for the truck. Hey, wow! -What? What is it? (..)1995 Toy Story
(..) -Whoa! Oh, wow, you flew magnificently! -I found my movin' buddy. -Thank you. Thank you all. Thank you. That wasn't flying! That was... falling with style. Man, the dolls must really go for you. Can you teach me that? -Golly bob howdy! -Oh, shut up! You know, in a couple of days, (..)1995 Toy Story