I would also like to know this. I have an OSPI running nginx doing HTTPS proxy. It works ok if I use a web browser to access OSPI from outside my network. However, it does not work with the Android native client version 1.4.11. Traffic is reaching OSPI (verified with tcpdump) but the mobile app can’t connect.
EDIT: issue fixed, my certificate chain was incomplete, which made it work with Chrome but not with OpenSprinkler for Android 1.4.11. Now I have TLS working fine.
I highly recommend this site:
https://www.ssllabs.com/ssltest/index.html