Answer:
If I have it, I don't share it. If I share it, I don't have it. What is it?
I have an eye but cannot see, You'll head inside when you see me.
A dragon's tooth in a mortal's hand, I kill, I maim, I divide the land.
A hill full, a hole full; yet you cannot catch a bowl full. What is it?
My first is a creature whose breeding is unclear. My second, a price you must pay. My whole can be found in the river of Time and refers to events of today.
Dry though I may be, I am still a sea.