Same here Vodafone Smart Tab 10.
It's not frustrating only for me, all my contacts see me as I constantly signing in, in theirs desktop pop up notification.
I have the same issue on my Galaxy S1 running 2.1-update1 and kernel 2.6.29. I hit the welcome splashscreen and attempt to put in my login and password. It immediately fails as if it is not even trying to connect to the server.
Same behavior here on Samsung Galaxy Tab - signs me out repeatedly throughout day and asks for password instead of automatically signing in like usual. And, then it takes 20 minutes sign in.
Is Skype not ready for primetime on the Android platform? 20 minute sign in doesn't work for me.
i have the same problem on Nexus 4 running Stock Android 4.2.1. Yesterday, i flashed the latest CyanogenMod nightly and skype works perfectly, i'm currently online for more than 24 hours. so maybe it's an android releated issue...