M$FT killed Skype support on the Linux platform a long time ago. Sorry. Best to buy an Android-based SIP phone (Grandstream) that includes Skype as a separate Android component.
I think what w1ve meant about skype integration might be similar to what's today called "skype for business" and "microsoft lync" and "cisco unified communications"...
1) when you have bought a SkypeOut subscription (US$2.50/month for 10,000 minutes to call from skype app to landlines and mobiles in the US and Canada = this is using skype's proprietary call termination protocol similar to sip termination), setting skype up on the same machine as the pbx server so that asterisk could bridge its outgoing calls thru to the skype app, for outgoing sip termination! And also, to possibly have the incoming skype calls ring thru to the pbx and be handled by the asterisk incoming call rules...
2) be able to "call out" from asterisk pbx, directly to "skype usernames"... which don't necessarily have a phone number.. simply by bridging over to the skype app running on the same server..
3) dial by name using the skype app's people directory... you can save tons of usernames and numbers in the skype directory inside the skype app..
4) video call bridging... using the popular nortel 1535 color sip video phone, make it so that you can call out of the nortel, thru asterisk pbx, over to the skype app running on the server, out to a skype username, and have the video call just work. This would have to translate the video protocol from sip video call to skype video call format..