Takedowns on enemies grant permanent Attack Speed.
+9% Attack Speed
+5 AD or 9 AP
Elise has a very assassain-heavy play style so Electrocute suits her well as she can quickly and easily proc it.
Cheap Shot allows you to follow up your [E] stun during a gank for an extra bit of True damage burst.
Jungle's live and die by ward control throughout the jungle so why not be rewarded with more damage by doing so?
Relentless Hunter's Bonus Movement Speed when paired with Celerity will allow you to massively control the jungle with your extremely fast clear and ability to sprint from one side of the map to the other.
Triumph allows you to stay healthy in mid-game teamfights/skirmishes where you're able to pick up assists and heal.
The extra attack speed from Alacrity massively empowers your jungle clear especially when combined with your [W] while in spider form.