onItemClick(itemId){
	....
}

render() {
	return this.props.largeList.map(item => <SomePureComponent key={item.id}
		onClick={this.onItemClick}
	/>);
}
....

class SomePureComponent extends React.Component {

	_onClick = () => {
		this.props.onItemClick(this.props.id);
    }
	render (
		onCLick={this._onClick}
	);
...