SOURCE

const { Modal, Button, TimePicker } = antd;

let MyCom = React.createClass({
  getInitialState(){
    return {data: ["06:20"]};
  },
  addTimeItem(index){
    const {data} = this.state;
    let arr = [...data];
    arr.splice(index+1, 0, "");
    this.setState({data:[...arr]});
  },
  removeTimeItem(index){
    console.log(index)
    const {data} = this.state;
    let arr = [...data];
    arr.splice(index, 1)
    this.setState({data:[...arr]});
  },
  render(){
    console.log(this.state);
     return (
      <div>
      {
         this.state.data.map((el,index)=>{
           return  <div key={index}>
             <TimePicker defaultValue={el ?moment(el, 'HH:mm') : null} format="HH:mm"/>
             <a href="javascript:void(0);" onClick={this.addTimeItem.bind(this, index)}>增加</a>
             <a href="javascript:void(0);" onClick={this.removeTimeItem.bind(this, index)}> 删除</a>
           </div>
         })
       }
     </div>
    )
  }
})

ReactDOM.render(<MyCom/>, document.getElementById('root'));

<div id="root"></div>