HTML Code

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="utf-8">
  <title>one delegated li demo</title>
  <style>
    body { font-family: sans-serif; padding: 16px; max-width: 420px; }
    ul { padding-left: 1.2em; }
    li { padding: 6px 0; cursor: pointer; }
    li.visited { color: #6b7280; text-decoration: line-through; }
    button { margin-top: 10px; padding: 8px 14px; cursor: pointer; }
    #hint { margin-top: 12px; color: #1d4ed8; font-weight: bold; }
  </style>
</head>
<body>
  <ul id="list">
    <li>Item A</li>
    <li>Item B</li>
  </ul>
  <button type="button" id="add">Add new item</button>
  <div id="hint">Click each li once. Add new items and click them too.</div>
  <script src="https://code.jquery.com/jquery-3.7.1.min.js"></script>
  <script>
    $("#list").one("click", "li", function() {
      $(this).addClass("visited").text("Visited once: " + $(this).text());
      $("#hint").text("First click on li handled. Same li ignores further clicks.");
    });
    $("#add").on("click", function() {
      $("#list").append("<li>New item</li>");
    });
  </script>
</body>
</html>

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jQuery .one('click', 'li') — delegated one-time list click (Try It)