The Skype app for iPhone, iPad and iPod touch has now been updated with support for iOS 8. Unfortunately, this does not include support for iPhone 6 and 6 Plus screen sizes, meaning Skype still renders at a scaled iPhone 5s resolution.
However, the update does add interactive notifications which helps streamline responding to content. Hence, new Skype notifications have buttons attached to the alert which can perform various actions. For voice calls, you can answer or decline. For video calls, you can choose between voice or video responses. For missed calls, you can respond with a message or call the person straight back.