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The Snap Cast cooldown is reduced with every spell cast, so in order to fulfill that requirement, you would need to be casting and using spells on enemies to reduce the cooldown.
From the Wiki:
Casting and firing any offensive magic will reduce its cooldown by 2 seconds. This is based on usage rather than the number of targets hit.
For example, firing 5 Icebolts will reduce Snap Cast's current cooldown by 10 seconds (2 for each hit). Fireball, on the other hand, will only reduce the cooldown by 2 seconds, regardless of the number of targets hit.