Party Room
(This tries to mirror connecting with people at a party)
Display the first profile pic of 6 different people side by side.
The user taps 2 of those people to "get to know better".
The other 4 people go away, and the user sees those 2 people's whole profile.
They swipe up or down, then 6 new people come up, in the same process.
The 4 people they did not choose do not show up again for 1 week (or maybe 24 hours), after which they will come back around in the rotation.
(This adds a fun element of decision, sort of like at a party where you have a limited amount of time to spend talking to people)
Might be a fun twist!