My 8 month old baby likes to switch from one breast to the other (as if playing) when I nurse her. Has anyone else experienced this?

Yes, when I was breastfeeding, my son does it too! Babies also have their own preferences. Sometimes he likes the right one more than the other. Sometimes he latches on each boob for less than 5 mins interval for no reason. I just keep offering one boob after another once he unlatches. He normally turns away if he's done so that's how I know that he's full.