The noise on accessing disk is still a bit of a mystery. I can't hear it on my player, but other people can on their players.
I can hear some a few seconds after the beginning of a new track with sufficiently sensitive in-ears (Shure SE420). (Some low-level ticking and buzzing that only lasts a short while.) It's not at all dramatic though, especially compared to the permanent loud ticking on the ClipV2. This is with a "variant 1" Clip+.
I don't know what the noise is on power-off. It could be same as the fade in/out noise.
Whatever it is, it apparently acts like a current source. There's not that much on the SE420s, but it's a pretty healthy crack on HD590s or a line-level input.
If I were to venture a guess, I'd say the headphone amp is operating too long, maybe right up to the point where the negative supply charge pump shuts down.