let names = persons.map(p => p.name);
Compared to ES5: var names = persons.map(function(p) { return p.name; });
The arrow syntaxes increases readability pretty much everywhere. Promises, for example: save(value)
.then(result => this.update(result))
.catch(err => Application.showError(err, "Could not save."))
(The use of a function in the "then" here is to avoid having to bind() the function; the alternative would be: .then(this.update.bind(this)).)Your setInterval example is a somewhat inappropriate example of the usefulness of arrows as it doesn't take any arguments and doesn't return anything (so you didn't need the braces).
But the fact that you have to alias "this" is a big argument in favour of arrow syntax. It may be trivial in a small example, but it's not trivial when extended to an entire app. You'll pretty much end up aliasing "this" in every single method. If you change any logic around, you'll end up having to either add new aliasing, or chase down unused alias variables, just to add/remove closures. (And what do you call that variable? Is it "this_" or "_this" or "self"? When working on a team you'll have to agree on a convention if the code is to remain readable.)