SELECT  COUNT(*) FROM links WHERE user_id=43if($count <= 5)
{
   //sql insert
}else{
   //sql insert
  $links_id_arr = ['3', '14', '35', '10', '43' , '23'];
  //Находим самый маленкий ИД в $links_id_arr
  $min_in_arr  = 3;
$sql = "DELETE FROM links WHERE user_id=43 AND id= $min_in_arr";
}