The part of the design which piqued my curiosity and distinguish Tinfoil Chat from other messengers is the endpoint-security aspect.
Besides the software it uses a very simple made data-diode[0] circuit especially to prevent key- and plaintext-extraction by limiting the data flow in only one direction. This is used to connect three distinct computers (sending/receiving/networked) from which only one is considered compromised (the networked one).
The rational behind that is as long as your (sending/encrypting and receiving/decrypting) endpoints aren't compromised during installation it's very hard to compromise them later.
That can't be said about Wire on an unsave endpoint like an android phone. On the other hand, Tinfoil Chat isn't the easy to use messenger which you want to recommend to any non tech-savvy person.