Answer:
I am a kind of coat that can only be put on when wet.
Never ahead, ever behind, yet flying swiftly past; for a child, I last forever; for an adult, I'm gone too fast. What am I?
What side of a cat has the most fur?
What gets bigger when more is taken away?
I don't live within a house nor do I live without. Most will use me when they come in and again when they go out.
I stay where I am when I go off. What am I?