What is fobia of caterpillars called?

Mottephobia or Lepidopterophobia.

Answer 2 by Terrier23: Since there is no actual name for the fear of butterflies, they use these two because they are for the phobia of moths, and moths and butterflies are practically the same. Mottephobia is the fear of moths with Lepidopterophobia is the fear of Jipsy Moths