A simple extension to the User component so you can get/set bits of data and store them in the session.
Set up your allowed data in User.php
private $_sessionKeys = array(
'hairColor'
);
// Usage:
// set a piece of data
\Yii::$app->user->hairColor = "blonde";
echo \Yii::$app->user->hairColor;
// throws an error because the key is not present
\Yii::$app->user->eyeColor = "blue";