Holy shit, urban dictionary has an entry for Tazeen (if you do not know that it is my name, what are doing here?)
According to urban dictionary, Tazeen means a very meaningful stare, somewhat scary, very piercing
Example cited of use of Tazeen goes like this:
Bryan: OMG, she is totally giving me the TAZEEN.
Jordan: You probably deserve it.
I am sure my mom did not know about the urban dictionary roots of the name, she only checked the Persian / Turkish roots and happily named me Tazeen, but I must say that urban dictionary reference beats it all.
Thank you mom, I love my name even more now.