Dave Barry is famous for it. It goes something like this:
I tell a story about how as a boy I loved riding my bike. Then I move into how I started driving a car, then peel off a tangent about my first time on an airplane.
Then the main thrust of the article is about an aspect of airplane travel. I bitch, piss, and moan about the aspect, but then conclude the piece with a statement like:
“When your flight lands and you get off of the plane, look for me. I ( or someone else) will be the guy riding my bike.”
I don’t think you are referring to a writing style, as such. ‘Style’ tends to refer to how an author uses language, for example whether they are terse and concise or verbose and ‘flowery’.
I think you are referring to a common technique called ‘recapitulation’, although there are other names and ways of describing it. It is most commonly found in short articles and commentary pieces, since it relies on the reader remembering how the article began. Ending the article with a reference to its beginning is seen by many writers as neat, effective and satisfying. It is one way to provide a tidy ‘coda’ to the piece, and some would say it gives the reader a satisfying feeling of having brought things ‘full circle’. It also gives some indication that the piece is well-constructed, and that the author actually put some time into thinking about the structure of the article.
It can also be seen as lazy, and a cliche. In common with almost every other aspect of creative writing and good self-expression, merit is in the eye of the beholder.