We usually see snow after the first day of spring. Rarely does this NOT happen. How often? Here is a nice calendar of ALL of the snowfalls in Cleveland since the late 1800s.
A few things to note as you read the chart. For March, only snows greater than one inch. Between April 1 and 15, only snows at/greater than 1/2". Between April 16-30, snow amounts greater than 0.1". After May 1st, all snows including trace amounts. I color coded select ranges for easy reference.
The latest snow (trace) was May 27, 1927
Note there has been no snow after May 27. Any frozen precipitation after May 27 was hail.