The fear of being tickled is called 'pteronophobia'.

the fear of being tickled by feathers

Pteronophobia: literally, "fear of feathers".

It is difficult to determine the exact number of people with pteronophobia (fear of feathers or being touched by feathers) as phobias can vary in severity and may go unreported. However, like other specific phobias, it is estimated that a small percentage of the population may experience pteronophobia.

chronophobia, demonophobia, hedonophobia, phonophobia, pteronophobia