No it doesn’t.
Whatever the name, Icognito, Private Browsing, InPrivate etc. etc. all this mode does is hide your tracks online. When this mode was first introduced it became known a “Porn Mode” as people used it to visit unsavoury sites without storing the evidence on their PCs.
The usual histories, cookies, and temporary Internet Pages are all deleted as your session ends but that does not make you anonymous whilst online.
Your ISP, sites you visit, your work network, may all log your visit and the pages you have looked at so be aware!
-------------------------------
