In a medium saucepan over medium heat, melt butter.
Add couscous and cook, stirring occasionally, until golden, about 3 minutes.
Add broth, increase heat to high, and bring to a boil.
Reduce to a simmer and cook, stirring occasionally, until broth is absorbed, 6 to 8 minutes.
Increase the heat to medium, stir in cream and pimentos, and continue to cook, stirring occasionally, until couscous is tender and sauce has thickened, 2 to 3 minutes.
Remove from the heat and stir in cheese and chives.
Add salt and pepper to taste and serve.