Loner T, your comments on Safari are irrelevant, Safari is not used here - the issue is Keychain Access (& apparently how Skype saves the 'token password').
AkhilCB, there is one more way to read the items in keychain, via the security command…
In /Applications/Utilities/Terminal enter this next line
security find-generic-password -s "skype" -a ".token.1" -w
Ensure the '.token.1' account string matches what you are searching for in Keychain Access.
A security window will pop up requesting access to the keychain item, allow it.
Then you may be prompted for the keychain password, enter that.
The password will be shown in the Terminal
Note: Mine does not show my Skype password, it shows a gibberish token, around 150 characters of hexadecimal (fff34fb…)
I think Skype is saving some form of data that is not viewable for this field that is why the token always fails to show. This is not your password, you will need to reset that via Skype, let us know if the other devices need to be reset too, the token may continue to work even after a reset.
P.S here is the manual
https://developer.apple.com/library/mac/documentation/Darwin/Reference/ManPages/ man1/security.1.html