How long does it take for my lip piercing to heal? Its sore and swollen, when will the soreness go awayy? Its been a week

Could be infection. The mouth and lip heal quickly due their generous blood supplies. A common complication of piercing is infection so you may have to get seen to check on this possibilty, hope you are better soon!
Lip piercing. If the pierce site is still sore & swollen (worse than before?) it may be infected, see your doc for evaluation & treatment.