An ice buildup inhibitor is disclosed useful for preventing ice damming, in particular in conjunction with the use of a closed gutter. Heat escape through a roof made warm snow pack, causing it to melt and flow down toward the gutter. After moving away from the heated roof, the water may re-freeze and form an ice dam. In the ice buildup inhibitor may be configured to warm in the closed gutter, thereby preventing the formation of an ice dam. They ice buildup inhibitor may be configured to be easily installed onto an existing closed gutter, enabling responsive installation on only those homes experiencing ice damming.