Repeat animation with new animated api

There's now loop animation available:

Animated.loop(
  Animated.sequence([
    Animated.timing(this.state.animatedStartValue, {
      toValue: 1,
      duration: 500,
      delay: 1000
    }),
    Animated.timing(this.state.animatedStartValue, {
      toValue: 0,
      duration: 500
    })
  ]),
  {
    iterations: 4
  }
).start()

Try something like this:

componentDidMount() {
    this.bootAnimation();
  }

  bootAnimation() {
    this.animation = Animated.loop(
      Animated.timing(this.state.progress, {
        toValue: 1,
        duration: 5000
      })
    ).start();
  }

improved version of @bcomerford answer

//this.state.animatedStartValue = 0;

function cycleAnimation() {
  Animated.sequence([
    Animated.timing(this.state.animatedStartValue, {
      toValue: 1,
      duration: 500,
      delay: 1000
    }),
    Animated.timing(this.state.animatedStartValue, {
      toValue: 0,
      duration: 500
   })
  ]).start(event => {
    if (event.finished) {
      cycleAnimation();
    }
  });
}

I use the sequence method to pass an array of animations to cycle and then repeat the function.

//this.state.animatedStartValue = 0;

function cycleAnimation() {
  Animated.sequence([
    Animated.timing(this.state.animatedStartValue, {
      toValue: 1,
      duration: 500,
      delay: 1000
    }),
    Animated.timing(this.state.animatedStartValue, {
      toValue: 0,
      duration: 500
    })
  ]).start(() => {
    cycleAnimation();
  });
}

If I'm toggling that animation on it's own it will fade in/out, however I layer it on top of a base to mimic an active state or hotspot-style button

  <TouchableOpacity>
    <Animated.Image
      source={activeImageSource}
      style={this.state.animatedStartValue}}
    />
    <Image source={nonActiveImageSource}
    />
  </TouchableOpacity>

React Native Sequence Documentation