@igounfazed - thank you for the screen shots. Much appreciated.
@immediate - Here's how it works on my Galaxy S2. First, disable wifi so that you don't get an accidental update. Next, go to global settings for play and set auto update to wifi only.
Next, bring up the Skype app in play. Bring up settings (left button). There should be an "auto update" checkbox and it will be checked. Uncheck it.
Then turn wifi back on.
Superb that at long last there's a "sign out" link.
It would be really useful to be able to search for contacgts though.
And it would be good to see all Android Contacts with phone numbrs, from within Skype.
None the less, thank you for the Sign Out.