Yes, your problem sounds quite similar to mine.  However, I'm running into this issue on several different networks -- both wifi and cellular.  To be clear: I haven't found a pattern of networks where this does / doesn't happen.

Details of my config:
 Here's a sorta-long screencast showing when this happened back on 11/27.  The behavior is the same today / in late Jan 2020; I just recorded this back when this started.  Here's some notable points in the video:
  1. The beginning shows that everything appears to be connected.
  2. At 0:22, I go into WG to show the current log, and you see the failed handshake messages.
  3. At 0:56, you see me try to load the zx2c4 "what's my IP?" page, and it hangs.
  4. At 1:38, you see me go back into WG and you can see all the failed handshake messages scroll by.
  5. Suddenly, at 3:53, the handshake succeeds, and now traffic appears to be flowing properly.
    • Note that nothing changed in my networking connectivity during that time, to my knowledge.  I had 3-4 bars on AT&T.
  6. After that (around 4:39), you can also see the IPv6 / IPv4 flip.  The recording keeps going for a while, but you can probably skip the rest.
Right after I finished the screencast, I saved the WG logs -- see attached.  You can see all the handshake failures towards the end.

Is there any more information that I can provide to help diagnose this issue?

On Wed, Jan 15, 2020 at 1:47 PM John <graysky@archlinux.us> wrote:
Your issue sounds similar to mine linked below.  Do you find this
endless failed handshakes to be when you're connected to any network
or just a specific one?  I routinely connect to 4 networks in my
travels and only 1 of them causes the problem.

Link to my post:
https://lists.zx2c4.com/pipermail/wireguard/2020-January/004858.html

On Wed, Jan 15, 2020 at 1:31 PM Jeff Squyres <jeff@squyres.com> wrote:
>
> Over the past ~2 months, I have been experiencing an intermittent problem with the iOS WireGuard client: sometimes the WireGuard client gets into a loop of endlessly-failing handshakes, which therefore stops all traffic.  If I disconnect/reconnect the WireGuard tunnel, the handshakes succeed, and traffic starts flowing normally again.
>
> This happens multiple times a day.  It has been happening with multiple versions of iOS starting with 12.x, and now with 13.x.  WireGuard for iOS version 0.0.20191015(15), Go Backend 0.0.2019.0909.
>
> I can send more details (logs, screenshots / screencast, etc.), but first: is this the right list to ask questions about the iOS client?  If not, can someone point me in the right direction?
>
> Additionally, another oddity: when my Wireguard tunnel is connected properly and I visit whoer.net or zx2c4.com/ip, sometimes I see my WireGuard endpoint's IPv6 address, and sometimes I see my WireGuard endpoint's IPv4 address.  This happens regardless of what network my iOS device (i.e., my phone) is on.  Sometimes when the IPv6 address is shown and I refresh the page a few times (over the span of a few seconds), it switches to show the endpoint's IPv4 address.
>
> Thanks!
>
> --
> {+} Jeff Squyres
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--
{+} Jeff Squyres