Вращать стрелку у пункта выпадающего списка только с 2 клика

$('body').click(function(e) {
  if ($('.sort-options').is(':visible')) {
    var $target = $(e.target);
    $('.dropdown-selector').toggleClass('vis')
    if (!$target.hasClass('sort-options') && !$target.hasClass('sort-option') && !$target.hasClass('currently-selected')) {
      $('.sort-options').slideUp(200, 'swing');
    }
  }

  if ($('.sort-option').is('.selected')) {
    $('.sort-option > .sort-option-arr').removeClass('clicked');
    $('.sort-option.selected > .sort-option-arr').addClass('clicked');
  }
});


$('.dropdown-selector').click(function() {
  $('.sort-options').slideToggle(200, 'swing');
});

$('.sort-options > li').click(function() {
  var clickedText = $(this).text(),
    clickedVal = $(this).attr('data-value'),
    currentOptionCont = $('.dropdown-selector').find('.currently-selected'),
    currentOptionText = currentOptionCont.text(),
    currWidth = $(window).width();
  if (clickedText != currentOptionText) {
    $('.sort-options').find('.selected').removeClass('selected');
    $(this).addClass('selected');
    currentOptionCont.text(clickedText).attr('data-value', clickedVal);
  }
});

var clicked = true;
$('.sort-option.selected').click(function() {
  if (clicked) {
    $('.sort-option-arr').removeClass('clicked');
    $('.sort-option-arr').addClass('clicked');
  }
  clicked = !clicked;
});

.dropdown-sort {
  right: 50%;
  top: 50%;
  height: 44px;
  position: absolute;
  z-index: 10;
}

.sort-options {
  display: none;
  position: relative;
  list-style: none;
  margin: 0px;
  background: #fff;
  border: 1px solid #dddddd;
  border-top: none;
  border-radius: 0 0 5px 5px;
}

.sort-options li {
  transition: 0.2s ease-in-out;
}

.sort-option {
  padding: 1em;
  cursor: pointer;
  background-color: #ffffff;
}

.sort-option span {
  display: inline-block;
  color: #4e4e4e;
}

.sort-option img {
  width: 8px;
  height: 8px;
}

.sort-option-arr.clicked {
  transform: rotate(180deg);
}

.angle-selectors {
  height: 30px;
  width: 100%;
  float: right;
  display: block;
}

.angle-selectors .drop {
  width: 100%;
}

.dropdown-selector {
  width: 255px;
  color: #4e4e4e;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  border-radius: 5px;
  font-weight: 500;
  font-size: 14px;
  line-height: 17px;
  color: #4e4e4e;
  z-index: 10;
}

.currently-selected {
  height: 44px;
  display: flex;
  align-items: center;
  padding-left: 15px;
}

<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script>
<div class="dropdown-sort">
  <div class="dropdown-selector">
    <div id="sort-by">
      <div class="currently-selected" data-value="По дате начала продажи">По дате начала продажи</div>
      <ul id="sortOptions" class="sort-options">
        <li class="sort-option selected" data-value="По дате начала продажи">По дате начала продажи <svg class="sort-option-arr" width="12" height="7" viewBox="0 0 12 7" fill="none" xmlns="http://www.w3.org/2000/svg">
<path fill-rule="evenodd" clip-rule="evenodd" d="M0.271242 0.295165C-0.0921565 0.662571 -0.0914839 1.25422 0.272749 1.6208L5.29075 6.67114C5.68179 7.06469 6.31846 7.06469 6.7095 6.67114L11.7243 1.62401C12.0903 1.25566 12.091 0.661134 11.7258 0.291944C11.3556 -0.0824116 10.7509 -0.0824112 10.3806 0.291945L6.35561 4.36133C6.15992 4.55918 5.84034 4.55918 5.64464 4.36133L1.62283 0.295165C1.2508 -0.0809641 0.643268 -0.0809636 0.271242 0.295165Z" fill="#DDDDDD"/>
</svg>
        </li>
        <li class="sort-option" data-value="По цене объекта">По цене объекта <svg class="sort-option-arr" width="12" height="7" viewBox="0 0 12 7" fill="none" xmlns="http://www.w3.org/2000/svg">
<path fill-rule="evenodd" clip-rule="evenodd" d="M0.271242 0.295165C-0.0921565 0.662571 -0.0914839 1.25422 0.272749 1.6208L5.29075 6.67114C5.68179 7.06469 6.31846 7.06469 6.7095 6.67114L11.7243 1.62401C12.0903 1.25566 12.091 0.661134 11.7258 0.291944C11.3556 -0.0824116 10.7509 -0.0824112 10.3806 0.291945L6.35561 4.36133C6.15992 4.55918 5.84034 4.55918 5.64464 4.36133L1.62283 0.295165C1.2508 -0.0809641 0.643268 -0.0809636 0.271242 0.295165Z" fill="#DDDDDD"/></li>
        <li class="sort-option" data-value="По цене за метр">По цене за метр <svg class="sort-option-arr" width="12" height="7" viewBox="0 0 12 7" fill="none" xmlns="http://www.w3.org/2000/svg">
<path fill-rule="evenodd" clip-rule="evenodd" d="M0.271242 0.295165C-0.0921565 0.662571 -0.0914839 1.25422 0.272749 1.6208L5.29075 6.67114C5.68179 7.06469 6.31846 7.06469 6.7095 6.67114L11.7243 1.62401C12.0903 1.25566 12.091 0.661134 11.7258 0.291944C11.3556 -0.0824116 10.7509 -0.0824112 10.3806 0.291945L6.35561 4.36133C6.15992 4.55918 5.84034 4.55918 5.64464 4.36133L1.62283 0.295165C1.2508 -0.0809641 0.643268 -0.0809636 0.271242 0.295165Z" fill="#DDDDDD"/></li>
      </ul>
    </div>
  </div>
</div>