If you have been experiencing persistent bleeding while taking Alesse continuously for 3 months, it is advisable to continue taking the pill for effective contraception. However, if you are experiencing other symptoms such as abnormal abdominal pain, weight loss, or nausea, it would be best to consult a healthcare professional. It is common for this type of bleeding to occur in the early stages of continuous pill use. As you continue with the continuous intake, the lining of your uterus will thin out, leading to less frequent and shorter episodes of bleeding between periods.