So after 1-2 hours it was obvious, you don't need to catch double click events with Ionic, but with pure JavaScript: dblclick()

So in Angular 2 it would be: (dblclick)="myFunction()" and that's it!

Here you will find other events for JavaScript.

html file

<button (tap)="tapEvent()">Tap Me!</button>

ts file

let count : number = 0;
tapEvent(){
this.count++;
setTimeout(() => {
  if (this.count == 1) {
    this.count = 0;
    alert('Single Tap');
  }if(this.count > 1){
    this.count = 0;
    alert('Double Tap');
  }
}, 250);

}

To catch the double click event, the following can be used:

(dblclick)="clickFunction()"

If we want to fire a function on click and onother function on double click we can use the following:

<button (click)="simpleClickFunction()" (dblclick)="doubleClickFunction()">click me!</button>

However, the simpleClickFunction function will be called also when doubleClickFunction is fired. To prevent it to happen, setTimeout can help as the following:

html template

<button (click)="simpleClickFunction()" (dblclick)="doubleClickFunction()">click me!</button>

Component

simpleClickFunction(): void{
    this.timer = 0;
    this.preventSimpleClick = false;
    let delay = 200;

    this.timer = setTimeout(() => {
      if(!this.preventSimpleClick){
        //whatever you want with simple click go here
        console.log("simple click");
      }
    }, delay);

  }

  doubleClickFunction(): void{
    this.preventSimpleClick = true;
    clearTimeout(this.timer);
    //whatever you want with double click go here
    console.log("double click");
  }