The action of saving an icicle over spring from the winter and using it in the summer on a hot day to cool off. Snowconing is typically done by inserting this icicle into your anus.
Harry: Yeah, my dad taught me to snowcone when I was a kid, and ever since it's been the best thing on hot days like this.
Jack: Yeah, it's a shame I didn't save any icicles this spring, can I borrow one of yours?
Harry: Of course, dude, I got a bunch.
Sean: What's that?
Harry: Woah.
Jack: You don't have that in South Dakota? Snowconing is when - on a really hot day - you put an icicle into your ass to cool off.
Sean: Sounds dope! I'd like to try!