In Discover you can like the part of someone's profile that stands out to you the most by tapping on the Teal heart on that user's profile.
When someone likes your profile, you'll see that in your They Like You tab.
To match and begin chatting, tap your Likes You button one the action panel at the bottom of the screen. That person will disappear from Discover and appear in Matches.
To skip a profile in Discover, tap the black X at the bottom left of the profile.
To permanently block or report a profile in Discover, tap report icon at the top right of the profile and select Report.