One thing the Buddha talked a lot about is getting lost in views. The beginning of time or the end of time, or the cause of this or that. Especially concerned with: Is the world eternal or not eternal, finite or infinite? He says these speculations are not very useful to get lost in. He linked some of the types of these questions (whether the world is finite or infinite, the beginning of time, the ending of time, etc.) to a person who is shot by a poison arrow and lying on the ground dying from this poison arrow. And when the doctor comes up and says, "Let me take the arrow out of your back and get the poison out," the person says, "No, I want to know who shot the arrow. I want to know whether they were tall or short, what clan they came from, etc." And all the time they ask all the questions, the person will die.
As far as the cycle of Samsara, things are arising due to cause and effect. That's about all I'll go into with talking about the theory of evolution, because I don't feel it's probably useful.