Jon Cave

If you don’t check your admin panel on your WordPress install very often (maybe because you prefer to use remote publishing) or you want to make sure 
that your clients’ WordPress installations are updated, then this is the plugin for you. You don’t have to login to your admin panel regularly, 
suscribe to an RSS feed, or do anything apart from installing this plugin to be notified when an update to WordPress is released.
All you have to do is install Update Notifier and forget it until you receive an email telling you to update.
To change Update Notifier’s options, go to Update Notifier under the main Settings menu. From there you can add a secondary email address 
which will also receive update notifications and you can activate update notifications for themes and plugins.

Update Notifier

Sends email notifications if a new version of WordPress available. Notifications about updates for plugins and themes can also be sent.

sumit

With the use of this plugin you can hides update reminder message from the WordPress Admin for all non admin users and for Admin also.
You can change the setting from the WordPress Admin to show the update reminder message will hide only for only non admin users or Admin to.
For more information or any query please <a href="http://sumitbansal.com/wordpress-plugin/hide-update-reminder-message/" rel="nofollow ugc">click here</a>
<h3>Support</h3>
Support is provided at http://sumitbansal.com/wordpress-plugin/hide-update-reminder-message/

Hide Update Reminder Message

Hides the Update Reminder in the Admin for all non Admin users.

Update Notifier vs Hide Update Reminder Message