Whip the cream, corn syrup and vanilla together with an electric mixer on medium-high speed until medium peaks form. Transfer to a shallow baking dish or pie pan and spread out into an even layer. Wrap well with plastic wrap, label and date and freeze for up to 2 weeks.
To thaw: Remove from the freezer and let thaw in the refrigerator for 1 day before serving, or let sit at room temperature until thawed, about 1 hour.
The whipped topping can be used right away instead of frozen, or can be covered and refrigerated 1 day ahead.
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