In some cultures, battle scars are considered a mark of courage or battle prowess (you got hit, but you defeated your opponent anyway). So naturally, where scars are considered good, some people will want to fake them or get them by illegitimate means.
You could set up a culture like this in your game, and see what the players do with it. They may cheer when an opponent scores a critical hit that gives them a scar. Or they may go the devious way and try to give themselves scars somehow.
And then you just think of all the ways these things can go wrong...
Commentary by memnarch (who has not seen the movie)
Ok, that I should have noticed last comic. I suppose the black line being stitches of some kind makes more sense than carbon fiber skin. Star Wars has a good amount of medical tech though, so perhaps this is meant to just be another example of "evil makes you ugly" rather than a badass scar? Or maybe the actor just had a bad reaction to the previous make-up and this is how it's worked around in the movie. It's still probably not the in-character reason Kylo got called back to the ship though, whatever that happened to be.
That's a pretty good double panel at the bottom. And makes me wonder a little bit if there's something like that going on in the movie as well. It'd be a reverse of the tree vision scene! This isn't a great location for it on Kylo's side however, so maybe we'll find out that Rey is in some gloomy place that'll allow it to happen. Not that being able to place a "Force Phonecall" would actually work for locating someone. Even the original Expanded Universe that I can remember never had anything that weird.
Poe: It was really fun!
BB-8: Speaking of which, are we ready to do this casino heist?
GM: Ready as I’ll ever be. But first we should check on Kylo Ren and Rey.
Kylo Ren: I’m having a droid remove the stitches from my scar.
[SFX]: gzzrk... gzzrk... gzzrk...
GM: The medical tech can completely—
Kylo Ren: Also I’ve moved it from a goofy nose scar to a dashing cheek scar.
GM: Moved it?
Kylo Ren: You were going to say I don’t need to have a scar, right?
Kylo Ren: So I had the one on my nose removed and a new one made, so I look badass.
Kylo Ren: I need something to amuse myself while I’m stuck here in my quarters doing Snoke’s paperwork.
Kylo Ren: So, speaking of Rey, I should be trying to find her.
General Hux: While doing, as you so eloquently put it, Snoke’s paperwork.
Kylo Ren: I use the Force.
Kylo Ren: HEY, REY!