See here: https://github.com/yannickcr/eslint-plugin-react/issues/412
AFAIK, arrow functions do (and should) have names if they're assigned to a variable.
const foo = () => {}; // undefined foo.name // "foo"
export const foo = () => {};
The name works fine in the browser, but since jest/enzyme use node to run tests, I had issues with functional components (defined as arrow functions and immediately exported) were missing their names.
FWIW, this isn't an issue in Babel 7.
See here: https://github.com/yannickcr/eslint-plugin-react/issues/412