Answer:
I can be found in seconds, minutes and centuries, but not in days, years or decades.
I'm the source of all emotion, but I'm caged in a white prison.
You row in one while you float.
Barren location, infertile and dry; my name means "to leave", it's not heard to see why
You speak this when you are being sincere.
People take me on walks and I run and have fun. What am I?