if ($naaa > 3) {
         echo "error";
        } else {
$sql = "INSERT INTO messages (user,message,textcolor,date) VALUES (:sas,:asas,:asafs,$time_limit)";
        $q = $db->prepare($sql);
        $q->execute(array(':sas'=>$user,':asas'=>$message,':asafs'=>$text));

        echo '<div style="color:'.$text.'">'.$user .' : '. $message.'</div>';
        }

$oneMinute = 60; // 60 seconds in a minute
$threshold = $oneMinute * 3; // we want three minutes to be our cutoff
$compareTime = time() - $threshold; // messages since 3 seconds ago

$query = "SELECT COUNT(1) FROM `messages` WHERE `sent` > $compareTime;";

<?php
session_start();
// Check if we stored the last message sent date to session
$lastTime = ( isset( $_SESSION["lastTime"] ) ) ? (int)$_SESSION["lastTime"] : false;
// Check if we stored the number of times user sent messages in a row
$hasError = ( isset( $_SESSION["hasError"] ) ) ? (int)$_SESSION["hasError"] : 0;

// if we got the last message sent time
if ( $lastTime ) {
  $difference = ( time() - $lastTime );
  if ( $difference < 10 ) { // 10 seconds
    // increase the number of messages user sent in a row
    $_SESSION["hasError"] = $hasError = ( $hasError + 1 );
  }
  else {
    // else reset the counter to 0
    $_SESSION["hasError"] = $hasError = 0;
  }
}

// if user trying to send more that 3 messages in a row
if ( $hasError > 3 ) {
  // show the error
  echo "error";
}
else {
  // save the last sent time
  $_SESSION["lastTime"] = time();

  // insert message to db
  $sql  = "INSERT INTO messages( user, message, textcolor, date ) VALUES( :sas, :asas, :asafs, $time_limit )";
  $q    = $db->prepare ($sql );
  $q->execute( array( ':sas' => $user, ':asas' => $message, ':asafs' => $text ) );
  echo '<div style="color:'.$text.'">'.$user .' : '. $message.'</div>';
}
?>