Answer:
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.
You throw away the outside, eat the inside, then throw away the inside. What is it?
Do what he says and you'll be fine, don't and you lose the game.
I am always hungry, I must always be fed. The finger I lick will soon turn red.
I don't think or eat or slumber. Or move around or fear thunder. Just like you I look the same but I can't harm you or be your bane.
You use it between your head and your toes, the more it works the thinner it grows.