fetchesDataOnMount.js

const fetchesDataOnMount = (callback) => (C) => class DataFetcher extends React.Component {
  constructor(props) {
    super(props);
    if (__SERVER__) callback(this.props);
  }
  componentDidMount() {
    if (!__SERVER__) callback(this.props);
  } 
  render() {
    return <C {...this.props} />;
  }
};

MyComponent.js

class MyComponent extends React.Component {
  // ...
  componentWillReceiveProps(nextProps) {
    if (nextProps.id !== this.props.id) fetchData(nextProps);
  }
};

const fetchData = (props) => props.fetchData(props.id);

let Wrapped = C;
Wrapped = connect(...)(C);
Wrapped = fetchesDataOnMount(fetchData)(C);
export default Wrapped;