This is sort of a signature feature for fiio, it's been the same since one of, if not the first portable player they put out, the x3 1st Gen, 10 or 12 years ago. It was clicking and popping when it was started, shutdown, switched from payer mode to USB mode and back.
I've had pops and clicks from most daps, Fiio, ibasso, cowon, Sony and Cayin
I was led to believe its to do with amp section of the players