In case of multiple type of select and/or if you want to remove already selected items one by one, directly within a dropdown list items, you can use something like:
jQuery("body").on("click", ".result-selected", function() {
var locID = jQuery(this).attr('class').split('__').pop();
// I have a class name: class="result-selected locvalue__209"
var arrayCurrent = jQuery('#searchlocation').val();
var index = arrayCurrent.indexOf(locID);
if (index > -1) {
arrayCurrent.splice(index, 1);
}
jQuery('#searchlocation').val(arrayCurrent).trigger('chosen:updated');
});