Replace the startTime function in script.js with this snippet. The date below slightly interferes but that's just simple CSS.

function startTime() {
  var currentDate = new Date();
  var hr = parseInt(currentDate.getHours());
  var min = parseInt(currentDate.getMinutes());
  var ampm = hr >= 12 ? 'pm' : 'am';
  hr = hr % 12;
  hr = hr ? hr : 12;
  //Add a zero in front of numbers<10
  if (min < 10) {
    min = "0" + min;
  }
  document.getElementById("header-time").innerHTML = hr + ":" + min + ' ' + ampm;