Answer:
My first is in riddle but not in little. My second is in think but not in brink. My third is in thyme but not in time. My fourth is in mother but not in brother. My last is in time but no t in climb.
What has an eye but cannot see?
What gets sharper the more you use it?
You will always find me in the past. I can be created in the present, but the future can never taint me. What am I?
Where did the baseball keep its lemonade?
When is it bad luck to see a black cat?