How to Take a closer look at things
Peek and pop
In many apps, pressing lightly on an item (say, a message in a mailbox in Mail or a link in Safari) peeks at that content. Let go to close it, or press harder to pop it open. You can swipe up from a light press for available actions.
Notifications
Tapping a notification’s banner takes you to the relevant place in an app, but you can deal with an item by pressing firmly on it, then swipe down to clear it. This also works at the Lock screen and in Notification Center.
Live Photos
If you take or receive a Live Photo (with a short amount of video either side of a still image), you can tell it apart from regular pics by an icon of concentric circles when editing. Apply 3D Touch to a Live Photo to play it.