Well it really just depends on the person.
For me, I had spotting for about a week per month for the first three months. And my periods were light and late. But the spotting has gone away now.
For lots of people, after your first period, it evens out and it ok. But like I said, it just depends on the person. Sometimes it may take up to three months. If it lasts longer than that, you should probably switch pills.