[svn] Where does SVN client store user authentication data?

Read SVNBook | Client Credentials.

With modern SVN you can just run svn auth to display the list of cached credentials. Don't forget to make sure that you run up-to-date SVN client version because svn auth was introduced in version 1.9. The last line will specify the path to credential store which by default is %APPDATA%\Subversion\auth on Windows and ~/.subversion/auth/ on Unix-like systems.

PS C:\Users\MyUser> svn auth
------------------------------------------------------------------------
Credential kind: svn.simple
Authentication realm: <https://svn.example.local:443> VisualSVN Server
Password cache: wincrypt
Password: [not shown]
Username: user

Credentials cache in 'C:\Users\MyUser\AppData\Roaming\Subversion' contains 5 credentials