our-component.js

import React from "react-native";

const {
  View,
  Text
} = React;

class OurComponent extends React.Component {
  render() {
    <View>
    {this.props.items.map((item) => (
      <View>
        <Text>{item.name}</Text>
      </View>
    )}
    </View>
  }
}

You need to export this or else the test can't require it.

import React from "react-native";

const {
  View,
  Text
} = React;

export default class OurComponent extends React.Component {
  render() {
    return(
      <View>
      {
        this.props.items.map((item) => (
          <View>
            <Text>{item.name}</Text>
          </View>
        ))
      }
      </View>
    )
  }
}