I have an  field and I need to clear it when this field loses focus (whiech means that user clicked somewhere on the page). But there         
        
Short answer: add tabindex="0" attribute to an element that should appear in event.relatedTarget.
Explanation: event.relatedTarget contains an element that gained focus. And the problem is that your specific div can't gain a focus because browser thinks that this element is not a button/field or some kind of a control element.
Here are the elements that can gain focus by default:
<a>elements withhrefattribute specified<link>elements withhrefattribute specified<button>elements<input>elements that are nothidden<select>elements<textarea>elements<menuitem>elements- elements with attribue
 draggable<audio>and<video>elements withcontrolsattribute specified
So event.relatedTarget will contain above elements when onblur happens. All other elements will are not counted and clicking on them will put null in event.relatedTarget.
But it is possible to change this behaviour. You can 'mark' DOM element as element that can gain focus with tabindex attribute. Here is what standart says:
The
tabindexcontent attribute allows authors to indicate that an element is supposed to be focusable, whether it is supposed to be reachable using sequential focus navigation and, optionally, to suggest where in the sequential focus navigation order the element appears.
So here is the corrected code snippet:
function lose_focus(event) {
  if(event.relatedTarget === null) {
    document.getElementById('text-field').value = '';
  }
}
.special {
  width: 200px;
  height: 100px;
  background: #ccc;
  border: 1px solid #000;
  margin: 25px 0;
  padding: 15px;
}
.special:hover {
  cursor: pointer;
}
<input id="text-field" type="text" onblur="lose_focus(event)" placeholder="Type something...">
<div tabindex="0" class="special">Clicking here should not cause clearing!</div>