I'm having a similar problem on my new bike.
It only happens certain times when I pedal. Every once in a while there will be no sound. I went slower to see if it was the pressure causing it but it didn't matter if I was going hard or soft. It also changes where it click in rotation of the crank if I coast for a bit and then start pedaling again.
I've checked my chain ring bolts, and I don't know if I should go into the BB. I'm pretty new to bike stuff. I might have to visit my LBS.