Chicken in Parmesan Chive Cream Sauce

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1 tablespoon olive oil

1/2 cup shallots, diced

3 cloves garlic, minced

2 pounds boneless skinless chicken breasts, cut into 1-inch pieces

1 teaspoon dried thyme

2 bay leaves

1 1/2 cups heavy cream

1/4 cup Parmesan, grated

2 tablespoons chopped fresh chives

Salt

Freshly ground black pepper

1 cup rice, regular or instant, cooked according to package directions