Component.tsx

import React from 'react';
import {
  View,
  Text,
  StyleSheet,
  ViewStyle,
  StyleProp,
} from 'react-native';

interface Props {
  style?: StyleProp<ViewStyle>;
}

const styles = StyleSheet.create({
  container: {
    
  },
});

const Name = (props: Props) => {
  return (
    <View style={[styles.container, props.style]}>
      <Text>
        
      </Text>
    </View>
  );
};

export default Name;

react-native-component.sublime-snippet

<snippet>
    <content><![CDATA[
import React from 'react';
import {
  View,
  Text,
  StyleSheet,
  ViewStyle,
  StyleProp,
} from 'react-native';

interface Props {
  style?: StyleProp<ViewStyle>;
}

const styles = StyleSheet.create({
  container: {
    
  },
});

const ${1:name} = (props: Props) => {
  return (
    <View style={[styles.container, props.style]}>
      <Text>
        
      </Text>
    </View>
  );
};

export default ${1:name};

]]></content>
    <tabTrigger>react-native-component</tabTrigger>
    <scope>source.js</scope>
    <description>Generic React Native Component</description>
</snippet>