So you can make your snow ring and then desynth it for extra skills. Like normal skill ups, you can gain skill on a break. Way back people critical broke their way through levels of goldsmithing using under-leveled subs. We gained skill up on breaks while hoping to reuse mats.
http://ffxiclopedia.wikia.com/wiki/Snow_Ring
Goldsmithing (102/113)
Yield: Orichalcum Ingot x 1
HQ 1: Orichalcum Ingot x 1
HQ 2: Orichalcum Ingot x 2
HQ 3: Ice Bead x 1
Lightning Crystal