JSFiddle - React, Tailwind, and code Playground

HTML

<script src="http://ajax.googleapis.com/ajax/libs/jquery/1.4.1/jquery.js"></script>
<script src="http://ajax.googleapis.com/ajax/libs/jqueryui/1.7.2/jquery-ui.min.js"></script>
<link rel="stylesheet" href="http://ajax.googleapis.com/ajax/libs/jqueryui/1.7.2/themes/base/jquery-ui.css">
    <label for="startDate">Date :</label>
    <input name="startDate" id="startDate" class="date-picker" />

CSS

.ui-datepicker-calendar {
    display: none;
    }

JavaScript

$(function() {
    $('.date-picker').datepicker( {
        changeMonth: true,
        changeYear: true,
        showButtonPanel: true,
        dateFormat: 'MM yy',
        onClose: function(dateText, inst) { 
            
            
            
            function isDonePressed(){
                            return ($('#ui-datepicker-div').html().indexOf('ui-datepicker-close ui-state-default ui-priority-primary ui-corner-all ui-state-hover') > -1);
                        }

                        if (isDonePressed()){

                            var month = $("#ui-datepicker-div .ui-datepicker-month :selected").val();
                            var year = $("#ui-datepicker-div .ui-datepicker-year :selected").val();
                            $(this).datepicker('setDate', new Date(year, month, 1));
                             console.log('Done is pressed')

                        }
            
            
          
        }
    });
});