Answer:
I have one, you have one. If you remove the first letter, a bit remains. If you remove the second, bit still remains. If you remove the third, it still remains.
What type of shoes do spies wear?
What has a face and two hands but no arms or legs?
What do you call a line of men waiting to get haircuts?
What is harder to catch the faster you run?
People take me on walks and I run and have fun. What am I?