'Stripe Terminal' is the product Stripe uses to allow their customers the option of collecting payment by swiping / dipping chip cards. Currently 'Stripe Terminal' does not work with React Native, a product millions of apps including Gazelle are built with. The team at Gazelle will consider adding this functionality once Stripe makes it available for use with React Native.
PRO TIP: Gazelle DOES support using the camera on your phone to scan your customers card instead of keying in all the numbers when you process a payment through your Gazelle app. This will NOT store the numbers on your device, this only saves you from having to type in the card details each time you process a payment.