Lichbane/trinityforce/spellblade activation cooldown reduced on hit? (rework)

Hi guys,

I love lichbane/spellblade, but when ever i get it, I always wish there was a faster way to proc it so that you can get atleast 2 procs during a trade lategame.

So here are my thoughts. Set lichbane activation cooldown to 2 seconds, however, cooldown would be reduce by 0.5 seconds per hit. That way if lux gets lichbane, she would still have to wait 1.5 seconds after her first hit. The benefit would go to champs who use nashors tooth or atack speed items. That way the attack speed from nashors would help reduce the cooldown on lichbane and you would see more champs pickup narshors as opposed to the select few like kayle and diana.

Also if proccing it faster meant op damage then maybe a slight damage reduction per proc could be done.

Hence there would be better synergy between attack speed and lichbane/trinityforce/spellblade.

Let me know your thoughts guys.