Inscription is a fancy word for “writing” — the act of writing or a small bit of writing. You weren't excited when you received the card, but the inscription inside made you weep with emotion. Here, have a tissue.
You can see the word script in inscription which can help you remember its meaning. You might find an inscription on a gravestone, on a locket, on a cufflink, or in a book. You were excited to see the inscription dedicating your friend's novel to you, until you fell asleep before page 10. Then you weren't sure what to say.