Change Time

Depends on your domain Global Policy configuration.  Here is some explanation on how to push out local administrators:

https://community.spiceworks.com/how_to/907-gpo-to-push-out-local-administrators-across-a-domain

I gave a domain user local admin rights on his pc so he could change the time on his box. When he tries to change the time he relieves a message that states he does not have the permission to change the time.

OK.  However, if you had configured this directive in your domain;

change the system time
Computer Configuration\Windows Settings\Security Settings\Account Policies\

Could prevent all the users and groups no explicitly defined in the directive from changing the system time.

You could use this same directive to explicitly allow your user/s to change the system time.