Remove pear halves from can, taking care to drain away as much liquid from pears as possible. Place pears onto a serving platter.
Top each pear half with about a teaspoon of mayonnaise, then add a little cheddar cheese to the top of the mayonnaise, and top each with a maraschino cherry.
Serve cold.
Notes
To make ahead. Prepare the pear salad without adding the cherry to the top. Add the cherries right before serving.