Yes, your loyalty program will work fine on mobile devices such as smartphones and tablets.
The loyalty widget is built with a responsive design, meaning that it will automatically scale to fit based on the size of your visitors display.
How it works - Your customers' experience
Depending on how a customer is viewing your website and loyalty program, they will see a version of your loyalty widget that has been scaled to the size of their screen.
This means that they still get to use the full-feature loyalty program and text and buttons will all be eligible regardless of if the visitor is on a desktop screen or their smartphone.
A loyalty program displayed on a full desktop screen
The same loyalty program being viewed from an iPhone