Termite queen avoids inbreeding by leaving a legacy of clones : Not Exactly Rocket Science:
"It's a fiendishly clever strategy. The original queen's legacy to the colony is... herself. She effectively splits herself into several different bodies and in doing so, greatly increases the number of offspring she has. And because each of these descendants mates with the king, who has no genes in common with them, the colony neatly skirts around the problems of inbreeding."