In a medium saucepan, combine sugar, cornstarch, and salt. Whisk in the half-and-half and cook over medium heat until the mixture is thickened and bubbly, stirring occasionally.
Remove from heat, add butter, brown sugar, extract, and stir until butter is melted. Pour into baked pie shell and sprinkle lightly with cinnamon.
Bake for 35 minutes; the centre of the pie will not be set. Cool pie for 1 hour, then refrigerate for 6 to 8 hours, or until ready to serve. Pie will set upon chilling. Cover for longer storage.
Top with your favourite fruits, chocolate, sprinkles, whipped cream or whatever your heart desires!