class MyComponent extends Component {
      constructor(props){
        super(props)
        this.myInput = React.createRef()
      }

      componentDidMount () {
        console.log(this.myInput.current.offsetWidth)
      }

      render () {
        return (
        // new way - as of React@16.3
        <div ref={this.myInput}>some elem</div>
        // legacy way
        // <div ref={(ref) => this.myInput = ref}>some elem</div>
        )
      }
    }

With hooks:

const MyComponent = () => {
  const ref = useRef(null);
  useEffect(() => {
    console.log('width', ref.current ? ref.current.offsetWidth : 0);
  }, [ref.current]);
  return <div ref={ref}>Hello</div>;
};

This is basically Marco Antônio's answer for a React custom hook, but modified to set the dimensions initially and not only after a resize.

export const useContainerDimensions = myRef => {
  const getDimensions = () => ({
    width: myRef.current.offsetWidth,
    height: myRef.current.offsetHeight
  })

  const [dimensions, setDimensions] = useState({ width: 0, height: 0 })

  useEffect(() => {
    const handleResize = () => {
      setDimensions(getDimensions())
    }

    if (myRef.current) {
      setDimensions(getDimensions())
    }

    window.addEventListener("resize", handleResize)

    return () => {
      window.removeEventListener("resize", handleResize)
    }
  }, [myRef])

  return dimensions;
};

Used in the same way:

const MyComponent = () => {
  const componentRef = useRef()
  const { width, height } = useContainerDimensions(componentRef)

  return (
    <div ref={componentRef}>
      <p>width: {width}px</p>
      <p>height: {height}px</p>
    <div/>
  )
}