Examples of a Cleveland accent
from the International Dialects of English Archive

This database of English language dialects consists of "primary source recordings for actors and other artists in the performing arts." Each speaker reads from the same script, specially designed to emphasize linguistic uniquenesses.

Lifelong West Sider
Pay particular attention to vowels, such as "a" in "happy", and the disappearing "d" syndrome, wherein "Cleveland" becomes "Clevelun" and "and that" becomes "annat"

Woman from Lagrange
Mostly a good representation of the Cleveland accent, though I think her slight country roots are showing. Pay attention to what happens to "veterinary" and "sentimental."

If you are a Clevelander and have trouble hearing an accent, listen to the other recordings from Ohio.