Here are some possible alternatives depending on what you mean:
* Shiverer: This is the correct spelling of the noun describing someone who shivers.
* Shivering: This is the present participle of the verb "to shiver."
* Shivery: This is an adjective describing something that causes shivering.
If you could provide more context about how you intend to use the word, I might be able to give you a more precise answer.