Connected apps are applications that have access to your account, because you logged into your Sketchfab account inside these apps.
For example, a mobile app for 3D scanning could ask you to login so that it can upload to your Sketchfab account directly.
In My Settings → Connected Apps, all the apps that have access to your account are listed under Connected apps.
Clicking on Remove will stop the app from having access to your account.
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