What Am I Riddles

Question: I can run but never walk. Wherever I go, thought are close behind me.

What am I?

Question: The more it dries, the wetter it becomes.

What is it?

Question: What has a head yet it never weeps, has a bed but never sleeps, can run but can not walks, and has a bank but not a cent to its name?

Question: I have Eighty-eight keys but cannot open a single door?

What am I?

Question: What has a single eye but cannot see?