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
Literal Use
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
Not Transferable
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.