Skype is a really interesting software. Its text chat UI is mature and audio and video chat facility are very nice. Skype has this interesting ability of working 
independent of the DNS configuration of your system. Even when the DNS server your system is configured for, gets 
poisoned, Skype does not get affected.
In fact, I leverage this ability of Skype to detect network issues due to DNS service being down. On such an occasion, when the browsers were not working but Skype was, I pointed my DNS configuration to Google's DNS servers (listed below) and the browsers worked fine.
8.8.8.8
8.8.4.4
To take a deeper look, I tracked the connections Skype was making. I used the following to do that.
netstat -taucp | grep skype
Initially it was sending out packets from port 51395 of my localhost. After I logged in, I find the following connections:
tcp        0      0 *:42520                 *:*                     LISTEN      19207/skype       
tcp        0      1 H:47078          111.221.77.159:40016    SYN_SENT    19207/skype       
udp        0      0 *:42520                 *:*                                 19207/skype       
udp        0      0 localhost:51395 *:*                                 19207/skype
H about is the hostname of my system and the IP 111.221.77.159 is owned by Microsoft, Microsoft Singapore to be specific. Interesting sequence of connections, when I lookup a contact and open the corresponding chat window.
tcp        0      0 *:42520                 *:*                     LISTEN      19207/skype       
tcp        0    516 H:46808          193.95.154.39:33033     ESTABLISHED 19207/skype       
tcp        0      0 H:47078          111.221.77.159:40016    ESTABLISHED 19207/skype       
udp        0      0 *:33626                 *:*                                 19207/skype       
udp        0      0 *:41980                 *:*                                 19207/skype       
udp        0      0 *:42520                 *:*                                 19207/skype       
udp        0      0 localhost:51395 *:*                                 19207/skype       
udp        0      0 H:32897          *:*                                 19207/skype
The IP 193.95.154.39 maps to Skype Technologies. After sending a line of text on  the chat window, the following connections were made.
tcp        0      0 *:42520                 *:*                     LISTEN      19207/skype       
tcp        0      0 H:46808          193.95.154.39:33033     ESTABLISHED 19207/skype       
tcp        0      0 H:47078          111.221.77.159:40016    ESTABLISHED 19207/skype       
tcp        0    236 H:44172          157.56.123.82:https     ESTABLISHED 19207/skype       
tcp        0      1 H:45020          91.190.216.9:www-http   SYN_SENT    19207/skype       
tcp        0     75 H:48246          78.141.179.14:12350     ESTABLISHED 19207/skype       
udp        0      0 *:33626                 *:*                                 19207/skype       
udp        0      0 *:42520                 *:*                                 19207/skype       
udp        0      0 localhost:51395 *:*                                 19207/skype       
udp        0      0 H:32897          *:*                                 19207/skype
The IPs 157.56.123.82, 91.190.216.9, 78.141.179.14 map to Microsoft Corp Redmond, Skype and Entreprise des Postes et Telecommunications respectively. After that, when I was not doing any more activity on Skype, the following network activity was seen.
tcp        0      0 *:42520                 *:*                     LISTEN      19207/skype       
tcp        0      0 H:47078          111.221.77.159:40016    ESTABLISHED 19207/skype       
tcp        0      0 H:47362          db3msgr6011307.ga:https ESTABLISHED 19207/skype       
tcp        0      0 H:48246          78.141.179.14:12350     ESTABLISHED 19207/skype       
udp        0      0 *:42520                 *:*                                 19207/skype       
udp        0      0 localhost.localdo:51395 *:*                                 19207/skype
db3msgr6011307.ga does not have any DNS entries. Suggestions for digging further are welcome.