To prepare compote, melt butter in a medium saucepan over medium heat. Add honey, juice, cinnamon, and berries; bring to a boil. Reduce heat; simmer 5 minutes or until thoroughly heated. Keep warm.
To prepare polenta, bring milk to a boil in a medium saucepan. Slowly add polenta, stirring constantly with a whisk. Stir in sugar and salt, and cook 5 minutes or until thick, stirring constantly. Serve with compote.