クリックイベントではなく、選択リストに「変更」イベントが必要です。(フィドルコードに基づく)
<select id="list">
<option value="A">Data Set A</option>
<option value="B">Data Set B</option>
<option value="C">Data Set C</option>
<option value="D">Data Set D</option>
</select>
$("#list").change(function(){
//... do stuff
var selVal = $(this).val();
if(selVal == "A" || selVal == ''){
options.series = [{name: 'A', data: [1,2,3,2,1]}]
} else if(selVal == "B"){
options.series = [{name: 'B', data: [3,2,1,2,3]}]
} else if(selVal == "C"){
options.series = [{name: 'C', data: [5,4,8,7,6]}]
} else {
options.series = [{name: 'D', data: [4,7,9,6,2]}]
}
var chart = new Highcharts.Chart(options);
});