Kayle's E is considered to be both a spell and an autoattack.
She can apply the new item damage with her E but she can't recharge the stacks. It's a strange interaction.
There could be 2 opposite solutions:
**1**.* Kayle wouldn't be able to apply the item damage with E at all.*
**2.** *Kayle can apply the damage with E up, like she does now, AND she will be able to recharge the item stacks while autoattacking with E.*
I think the second solution would make Kayle too strong though.