I've been labeling this feeling as an ASMR (Autonomous Sensory Meridian Response). Is it really a rare occurrence? I can pretty much do this on demand when listening to certain songs/types of music.
Interestingly, reddit has both a frisson and an ASMR subreddit.
I know that frisson is highly personal. What causes me to frisson won't cause another person to frisson, and I only know a couple people personally who I believe can frisson (but nobody really talks about it, because there's simply no awareness of it).
I don't know if the same is true for ASMR. But the triggers people post in the subreddit are not representative of anything that's ever triggered a frisson in me (soft voices, clicking sounds, etc.).
But that doesn't stop people from trying to share their triggers for each phenomenon!