Update: In TortoiseSVN 1.9 and later, you can do it without any additional tools:
Settings Dialog -> Saved Data, then click the "Clear..." button right of the text "Authentication Data". A new dialog pops up, showing all stored authentication data where you can chose which one(s) to clear. Instead of clearing, hold down the Shift and Saved Data0 button, and then double click on the list. A new column is shown in the dialog which shows the password in clear.
For those interested in the OS X solution for apps like Intelli-J where authorizations are stored by OSX:
Hit CMD+SPACE
Type "keychain"
Open keychain access
Under "Keychains" on the left, choose "login"
Under "Category" on the right, choose "All items"
At the top right in the search box, type in the the host URL (e.g. svn.mycompany.com)
Your keychain item will show if you chose to have your Mac remember your login credentials.
Double click the item and check the "Show password" checkbox at the bottom of the dialog that pops up. You will have to enter your Mac login to reveal the password.
Much easier than having to try to decrypt a password :-)
Just use this this decrypter to decrypt your locally cached username & password.
By default, TortoiseSVN stores your cached credentials inside files in the %APPDATA%\Subversion\auth\svn.simple directory. The passwords are encrypted using the Windows Data Protection API, with a key tied to your user account. This tool reads the files and uses the API to decrypt your passwords