What is the adverb of style?

There isn't a single, direct adverb of "style." "Style" is a noun, and adverbs modify verbs, adjectives, or other adverbs.

However, you can use various adverbs to describe how something is done in a particular style, like:

* Stylishly: "She dressed stylishly for the party."

* Elegantly: "He played the piano elegantly."

* Sophisticatedly: "The restaurant was decorated sophisticatedly."

* Classically: "The music was composed classically."

* Modernly: "The house was designed modernly."

The best adverb to use will depend on the specific style you want to describe.