JSFiddle - React, Tailwind, and code Playground

HTML

<div class="icon-locked" id="locked">Toggle</div>

<select class="form-control" id="signontype" disabled>
    <option>Option 01</option>
    <option>Option 02</option>
</select>

CSS

#toggle{cursor:pointer;}

JavaScript

$( "#locked" ).click(function() {
    $( this ).toggleClass( "pulse-icon-unlocked" )
    if($('select#signontype').is(':enabled')){
       $('select#signontype').prop('disabled', true);
    }else{
        $('select#signontype').prop('disabled', false);
    }
    
});