SSL23_GET_SERVER_HELLO:sslv3 alert handshake failure

If you facing this issue on Git Client.

Then install latest version of Git bash.

I faced the same issue and resolved installing the new Git Client.

Upgrading openssl resolved this issue...

An upgrade of OpenSSL should resolve your issues.

OpenSSL has had some serious vulnerabilities exposed of late. As well, many web servers around the web have tightened up security to block those vulnerable protocols and ciphers.