// the click event handler
private function onclick_sourcetree(e:Event):void {
yourTree.editable = false;
}
// the doubleclick event handler
private function ondoubleclick_sourcetree(e:Event):void {
yourTree.editable = true;
yourTree.editedItemPosition = {columnIndex:0, rowIndex:sourceTree.selectedIndex};
}
When the node is clicked set editable to false. Set editable to true in the double-click event handler.