how to clear antd select items programmatically

Just set value to null. e.g.

<Select value={null} />

If you are using React Hooks, use the following:

import React, { useState } from 'react'
import { Button, Select } from 'antd'

const { Option } = Select

// inside your component
const ComponentName = () => {
  const [selected, setSelected] = useState()

  // handler
  const clearSelected = () => {
    // this line will clear the select
    // when you click on the button
    setSelected(null)
  }

  // in the return value
  return (
    <>
      // ...
      // In the select element
      <Select style={{ width: 150 }} onChange={value => setSelected(value)} 
        value={selected}>
        <Option value="jack">Jack</Option>
        <Option value="lucy">Lucy</Option>
      </Select>
      <Button onClick={clearSelected}>Clear Selected</Button>
    </>
  )
}

Try this

    class Banana extends React.Component {
          constructor() {
            super();
            this.state = {
        selected: []
};

            this.handleChange = this.handleChange.bind(this);
            this.clearSelected = this.clearSelected.bind(this);
          }

          handleChange(value) {
            this.setState({ selected: value });
          }

          clearSelected() {
            this.setState({ selected: []});
          }

          render() {
            return (
              <div>
                <Select value={this.state.selected} style={{ width: 120 }} onChange={this.handleChange} placeholder="Select option">
                  <Option value="jack">Jack</Option>
                  <Option value="lucy">Lucy</Option>
                  <Option value="disabled" disabled>Disabled</Option>
                  <Option value="Yiminghe">yiminghe</Option>
                </Select>
                <Button onClick={this.clearSelected}>clear selected</Button>
              </div>
            );
          }
        }