Botox is a great treatment for early vertical lip lines. The swelling should resolve in few hours but some bruises and even muscle irregularities can lase longer.I hope that helps and best regards, Dr. Sapijaszko.
Botox can be injected above the lips in the vertical lines to soften them and it is never injected in to the lip itself. There should be minimal swelling from this treatment and it is usually caused by the fluid/Botox itself which abates within 15-20 minutes. Fillers to augment the lip volume may cause swelling that can last anywhere from several days to a week depending.