Possible Clues:

• Month spent with rogue, popular though cheesy
• Probably cheesed off with cooking
• Of food dish, cooked with crust of melted cheese
• With cheese baked on top
• Rug Anita randomly covered with cheese!
• Gold I grant appears to be topped with cheese
• So crummy, of course, so to have the August pest in here
• How might one cook tuna, Riga style
• Browned off with no good classification after a month
• Cooked with browned melted cheese