Получить this при клике

$(document).on('.amplitude-paused', 'click', function() { 
  this.html('New Text'); 
}); 
 
$(document).on('.amplitude-paused', 'click', function() { 
  $(this).html('New Text'); 
});

<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script> 
<span class="amplitude-play-pause amplitude-paused music--top--btn" data-amplitude-playlist="top--playlist"> 
Text 
</span>