[jquery] How to bind 'touchstart' and 'click' events but not respond to both?

Just adding return false; at the end of the on("click touchstart") event function can solve this problem.

$(this).on("click touchstart", function() {
  // Do things
  return false;
});

From the jQuery documentation on .on()

Returning false from an event handler will automatically call event.stopPropagation() and event.preventDefault(). A false value can also be passed for the handler as a shorthand for function(){ return false; }.