It has name on it

it has (one's) name on it

1. It is reserved or intended for one. Are you sure you don't want a popsicle? There's a cherry one here, and it has your name on it!
2. It is a perfect match for someone's interests or tastes. Susie loves spooky things, so yeah, definitely leave that mystery novel here for her. It has her name on it.
See also: name, on
Farlex Dictionary of Idioms.

It has someone's name on it.

Fig. It belongs to someone.; It is meant for someone. A: Is that an extra piece of cake? B: Yes, and it has your name on it.
See also: name, on
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs.
See also:
  • drive (one) out of office
  • force (one) out of office
  • force out of office
  • give (one) (one's) head
  • give head
  • give somebody their head
  • give someone their head
  • cooking for one
  • as one door closes, another (one) opens
  • as one door closes, another opens