Mainstream movie viewers got to meet Laura Kinney (aka X-23) in Logan, and the character has become a quick fan-favorite to the masses, as she has been to Marvel Comics readers for years now. Ever since the comics promoted Laura to the mantle of "All-New Wolverine" in the last year or so, fans have speculated that the same progression could happen on the big screen.
Above you can see this piece of artwork by Masaolab over on DeviantART, which depicts Laura/X-23 in costume as the movie version of All-New Wolverine. It's a pretty good mix of the X-Men movies and comic books aesthetics, and definitely captures the look that young breakout actress Dafne Keen brought to the character.
Right now, the future of Wolverine in the X-Men movie universe is uncertain, as Hugh Jackman ended his long run of the character in Logan. There's plenty of room for X-23 to become the new X-Men movie universe Wolverine, and with word that there's development on a Logan sequel featuring Laura / X-23, if could be happening sooner before later.
The X-Men movie universe continues with The New Mutants on April 13th, 2018; Untitled Deadpool Sequel on June 1st, 2018; and X-Men: Dark Phoenix on November 2nd, 2018.