What does it mean when you lips itch but there is no swelling or redness of lips and has been occurring for a few days now?

Maybe an allergy: Allergic reactions like hives usually present with a rash but they may start as simply itching. Also a contact dermatitis will start with itching but by several days you should be able to see a rash. Try to evaluate what new things-foods, medications, supplements you are taking recently and stop them. Have your doctor evaluate this if it persists. Antihistamines may help relieve hives.