I managed to fire the
$('.edit').click(function(){} and $('.button').click(function(e){}
$('.edit').click(function(){
  // uid = userid
  var uid = '123';
  var self = $(this);
  // closest in the parent elements
  // use .find with caution unless you sure you have only one .input
  // contenteditable makes element editable. use with caution as it accepts html tags, javascript
  // .addClass for styling
  var input = self.closest('tr').find('.input');
  input.attr('contenteditable','true').addClass('editable');
  self.closest('td').html('<span class="button">Save</span>');
  $('.button').click(function(e){
    e.preventDefault();
    var field = $(this).closest('tr').data('field');
    // get text instead of html from editable tr
    var value = $(this).closest('tr').find('.input.editable').text();
    if (value.length > 0) {
      var dataString = 'edit_info=' + uid + '&field=' + field + '&value=' + value;
      alert(dataString);
      //  $.ajax({
      //   type: "POST",
      //      url: "ajax.php",
      //      data: dataString,
      //      success: function(data){
      //       if (data == 'success') {
      input.attr('contenteditable','false').removeClass('editable');
      $(this).closest('td').html('<span class="edit">Edit Info</span>');
      //    }
      //   }
      //  });
      return false;
    };
  });
  return false;
});table tr td {
  padding: 12px 15px;
  border-bottom: 1px solid #d6d6d6;
  box-sizing: border-box;
}
.edit {
  color: blue;
  cursor: pointer;
}
.editable {
  background-color: #FFF;
  border: 1px solid #d6d6d6;
}
.button {
  background-color: blue;
  color: #FFF;
  border-radius: 8px;
  line-height: 18px;
  padding: 5px 8px;
  text-align: center;
}<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<table>
  <tr data-field="name">
    <td>Name</td>
    <td class="input">John Doe</td>
    <td><span class="edit">Edit Info</span></td>
  </tr>
  <tr data-field="email">
    <td>Email</td>
    <td class="input">johndoe@email.com</td>
    <td><span class="edit">Edit Info</span></td>
  </tr>
</table>But it only works once. Can anyone explain why?
Here is my fiddle: https://jsfiddle.net/michaelyuen/s7d06ra8/6/
 
    