Nothing offhand, no. Are you linking the Square Payment Form’s production JS, and not sandbox? Ie using this:
<script type="text/javascript" src="https://js.squareup.com/v2/paymentform">
</script>
(without “sandbox” in the url)?
As for the “Production Application Secret”, that would only come into play if you intended on using OAuth, which is mainly for onboarding other Square merchants to use your application (so that you can make API requests on their behalf).