Update style of a component onScroll in React.js

You should bind the listener in componentDidMount, that way it's only created once. You should be able to store the style in state, the listener was probably the cause of performance issues.

Something like this:

componentDidMount: function() {
    window.addEventListener('scroll', this.handleScroll);
},

componentWillUnmount: function() {
    window.removeEventListener('scroll', this.handleScroll);
},

handleScroll: function(event) {
    let scrollTop = event.srcElement.body.scrollTop,
        itemTranslate = Math.min(0, scrollTop/3 - 60);

    this.setState({
      transform: itemTranslate
    });
},

with hooks:

import React, { useEffect, useState } from 'react';

function MyApp () {

    const [offset, setOffset] = useState(0);

    useEffect(() => {
        const onScroll = () => setOffset(window.pageYOffset);
        // clean up code
        window.removeEventListener('scroll', onScroll);
        window.addEventListener('scroll', onScroll, { passive: true });
        return () => window.removeEventListener('scroll', onScroll);
    }, []);

    console.log(offset); 
};

You can pass a function to the onScroll event on the React element: https://facebook.github.io/react/docs/events.html#ui-events

<ScrollableComponent
 onScroll={this.handleScroll}
/>

Another answer that is similar: https://stackoverflow.com/a/36207913/1255973

My solution for making a responsive navbar ( position: 'relative' when not scrolling and fixed when scrolling and not at the top of the page)

componentDidMount() {
    window.addEventListener('scroll', this.handleScroll);
}

componentWillUnmount() {
    window.removeEventListener('scroll', this.handleScroll);
}
handleScroll(event) {
    if (window.scrollY === 0 && this.state.scrolling === true) {
        this.setState({scrolling: false});
    }
    else if (window.scrollY !== 0 && this.state.scrolling !== true) {
        this.setState({scrolling: true});
    }
}
    <Navbar
            style={{color: '#06DCD6', borderWidth: 0, position: this.state.scrolling ? 'fixed' : 'relative', top: 0, width: '100vw', zIndex: 1}}
        >

No performance issues for me.

to help out anyone here who noticed the laggy behavior / performance issues when using Austins answer, and wants an example using the refs mentioned in the comments, here is an example I was using for toggling a class for a scroll up / down icon:

In the render method:

<i ref={(ref) => this.scrollIcon = ref} className="fa fa-2x fa-chevron-down"></i>

In the handler method:

if (this.scrollIcon !== null) {
  if(($(document).scrollTop() + $(window).height() / 2) > ($('body').height() / 2)){
    $(this.scrollIcon).attr('class', 'fa fa-2x fa-chevron-up');
  }else{
    $(this.scrollIcon).attr('class', 'fa fa-2x fa-chevron-down');
  }
}

And add / remove your handlers the same way as Austin mentioned:

componentDidMount(){
  window.addEventListener('scroll', this.handleScroll);
},
componentWillUnmount(){
  window.removeEventListener('scroll', this.handleScroll);
},

docs on the refs.