Edit in JSFiddle

$(document).ready(function(){
    //localStorage.clear("eatoncookies");
    readStatus();
});

$(".acceptbutton").on("click",function(e){
  e.preventDefault();
  alert ("Cookies Accepted!");
  window.localStorage.setItem("eatoncookies", "yes");
  $(".acceptbutton").hide();
});



function readStatus() {
    if (window.localStorage.getItem("eatoncookies") == null) {
        $(".acceptbutton").show();
    } else {
         $(".acceptbutton").hide();
    }
}
<a href="#" class="acceptbutton">Accept cookies</a>