JSFiddle - React, Tailwind, and code Playground

HTML

<label><input type="radio" name="test"/>label1</label><br>
<input type="radio" name="test" id="label2"><label for="label2">label2</label><br>

JavaScript

function uncheck_radio_before_click(radio) {
    if(radio.prop('checked'))
        radio.one('click', function(){ radio.prop('checked', false); } );
}
$('body').on('mouseup', 'input[type="radio"]', function(){
    var radio=$(this);
    uncheck_radio_before_click(radio);
})
$('body').on('mouseup', 'label', function(){
    var label=$(this);
    var radio;
    if(label.attr('for'))
        radio=$('#'+label.attr('for')).filter('input[type="radio"]');
    else
        radio=label.children('input[type="radio"]');
    if(radio.length)
        uncheck_radio_before_click(radio);
})