The plugin writes your font details in a css file. After upgrade the re-write the css again if the process was fine.
Some time there might be problem writing the css file again. And here are some of the known issues.
1. Make sure you have write permission for wp-content/plugins/use-any-font/css/uaf.css
2. Make sure your browser is not taking old cache.
You can also posted your url here, so that we can check problem better.