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Unfortunately we do not have a direct integration to Klaviyo, but there is a way to do it through their API.
You can see more about this here: http://www.jotform.com/answers/600608 where my colleague had replied to someone else looking for a similar setup.
Now alternatively to his suggestion instead of sending POST data, you can also set up webhooks as well. You can see more about them here: How to Setup Webhook with JotForm
Both options work the same, while webhooks might be slightly easier to set up, but both require that you have a script on your server that will accept the data and then pass it to Klaviyo as per your requirements.