Another solution for class based vanilla JS using a distance threshold
private initDetectDrag(element) {
    let clickOrigin = { x: 0, y: 0 };
    const dragDistanceThreshhold = 20;
    element.addEventListener('mousedown', (event) => {
        this.isDragged = false
        clickOrigin = { x: event.clientX, y: event.clientY };
    });
    element.addEventListener('mousemove', (event) => {
        if (Math.sqrt(Math.pow(clickOrigin.y - event.clientY, 2) + Math.pow(clickOrigin.x - event.clientX, 2)) > dragDistanceThreshhold) {
            this.isDragged = true
        }
    });
}
Add inside the class (SOMESLIDER_ELEMENT can also be document to be global):
private isDragged: boolean;
constructor() {
    this.initDetectDrag(SOMESLIDER_ELEMENT);
    this.doSomeSlideStuff(SOMESLIDER_ELEMENT);
    element.addEventListener('click', (event) => {
        if (!this.sliderIsDragged) {
            console.log('was clicked');
        } else {
            console.log('was dragged, ignore click or handle this');
        }
    }, false);
}