Just like we all have a style (whether we realize it or not) within our fashion choices, all writers have a preferred writing style.
I think, however, many of us confuse it with voice. The two do go hand-in-hand. A writer's style, in conjunction with their voice, can usually tell a reader quickly exactly what writer they're reading. The difference, however, is that voice is what you have to say, while style is how you go about saying it.
Voice has to do with content, message, theme, and a view of the world. Style has more to do with word choices, sentence structure, grammatical quirks, and punctuation.
I've been reading work in a lot of different genres lately, and the styles I find vary drastically from one genre to the next--but they also vary significantly within the genres.
In historical romance, for example, it's not uncommon to find a style that utilizes long, flowing sentences, complex phrasing, parenthetical asides, and some words that might send you to the dictionary. The writing is often soft and fluid, flowing. In a modern crime drama, you'd be hard pressed to find many that don't utilize a lot of short, terse, to the point sentences. Maybe even a lot of sentence fragments. The writing here is often rigid and exacting. No extra words. Nothing that isn't imperative to the meaning.
I'd have to say that my writing style is more fluid. I tend to use long, flowing sentences in combination with shorter, punchier ones. I use all of the punctuation at my disposal. Sometimes, I have to stop myself from using some of them too often. It isn't uncommon for critique partners or beta readers to stop me and ask if I really want to use THAT word, when THIS one is much easier to understand.
I'm reading an author right now who combines complex sentences that are almost to the point of run-on sentences with short, terse, choppy fragments in a way that should hurt my grammar-loving tendencies. Instead, I'm enthralled by the rhythm she's created in her sentences and paragraphs, and I can't seem to get enough of it.
What sort of writing style most appeals to you as a reader? And if you're a writer, do you know what your writing style is?