A quick trick to solve this problem on OSX (Lion in my case) using macports

$ svn co https://svn.mycompany.com/repository/trunk repos
svn: E175002: Unable to connect to a repository at URL https://svn.mycompany.com/repository/trunk'
svn: E175002: OPTIONS of 'https://svn.mycompany.com/repository/trunk': SSL handshake failed: 
SSL disabled due to library version mismatch (https://svn.mycompany.com)

Solution:

$ sudo port upgrade neon

Hope it helps someone, as I found it quite confusing to solve