Have your/somebody’s name on it

Pro Tip 1/3

Highlights that an item or opportunity is exclusively intended for a particular person, not to be shared.

I saved the last piece of pie; it has your name on it.

Pro Tip 2/3

Sometimes used literally when an item is physically labeled with a person’s name.

Here's your uniform; it actually has your name on it.

Pro Tip 3/3

Used to convey that the transfer or exchange of something is not appropriate as it's meant for someone specific.

This invitation has your name on it, so I can't go in your place.