"To tweak the styling" means making small adjustments or changes to the appearance or design of something, usually to improve or refine it. Full definition
Changes made to the hatchback are purely cosmetic with tweaked styling on the outside and inside. (auto.ndtv.com)
Even though I live in a colder climate than you I find I can tweak your style just a tad to suit my life. (unefemme.net)
This time of year, I really enjoy putting outfits together because you can throw in so many different accessories and tweak you style so easily. (2catsandchloe.com)