mandible reduction and skin sagging

Hi what are the odds of skin sagging/ double chins worsening after mandible reduction? What about for reduction genioplasty? I'm skinny but my fat likes to float around my face so I already almost have a double chin.

I'm not talking about v-line or zygoma reduction. Id like to undergo mandible reduction but I dont think I will if it'll make my double chin a lot worse. Besides, it's so expensive.

Also, for simply rhinoplasty, is there anything they can put in thats flexible? I heard that...

mandible reduction and skin sagging