Answer:
I can run but not walk. Wherever I go, thought follows close behind.
It doesn't live within a house, nor does it live without. Most will use it when they come in, and again when they go out.
What goes in the water black and comes out red?
My first half is normally made of stone, my second is crazy, and I taste sweet when complete.
At first, I am nothing. Add something to negate. Add again to oppose. Add again to find the time to draw. Add once more to find nobody at all.
What do angels sing in the shower?