React setState not updating array

I'm having a problem with setState not updating my todoItems array. I read through the other posts here that have dealt with the same issue. In my addTodoItem() I changed this.setState to a function and I'm now using the spread operator, A new item is being generated in the array. This is what logs:

(4) [{…}, {…}, {…}, {…}]0: {id: "1", item: "Learn React."}1: {id: 
"2", item: "Do Yoga."}2: {id: "3", item: "Be kind."}3: {id: "4", 
item: "Have Fun"}length: 4__proto__: Array(0)
App.js:36 todo: Have Fun

But it doesn't actually update the array. When I refresh it reverts to the original state. From what I read I think I'm having the state updating async issue. What am I missing?

class App extends Component {
  constructor(props) {
    super(props);

    this.state = { 
      value: '',
      listItemValue: props.value || '',
      todoItems:  [
        {id: _.uniqueId(), item: 'Learn React.'},
        {id: _.uniqueId(), item: 'Do Yoga.'},
        {id: _.uniqueId(), item: 'Be kind.'}
      ]
    };

    this.addTodoItem = this.addTodoItem.bind(this);
    this.handleSubmit = this.handleSubmit.bind(this);
    this.handleChange = this.handleChange.bind(this);
  }

  handleChange(event) {
    let value = event.target.value;
    this.setState({
      value: this.state.value,
      listItemValue: value
    });
  }

  handleSubmit(event) {
    event.preventDefault();
    this.setState({
      value: '',
      listItemValue: ''
    });
  }

  addTodoItem = () => {
    let todoItems = this.state.todoItems.slice();
    todoItems.push({
      id: _.uniqueId(),
      item: this.state.listItemValue
    });
    this.setState(prevState => ({
      todoItems: [
        ...prevState.todoItems,
        {
          id: _.uniqueId(),
          item: this.state.listItemValue
        }
      ]
    }))
  };

  render() {
    return (
      <div className="App">
        <h1>Todo List</h1>
        <TodoListForm name="todo"
                      onClick={()=>this.addTodoItem()}
                      onSubmit={ this.handleSubmit }
                      handleChange={ this.handleChange }
                      value={ this.state.listItemValue } />
        <TodoList todoItems={ this.state.todoItems }/>
      </div>
    );
  }
}