Yes, in our tradition you really are not supposed to bless a priest. It is like you are saying you are somehow above him in authority.
We have this delusional guy who sometimes hangs around our church. I mean he is really mentally ill and thinks he has been chosen by God for something. He claims God visits him in the form of some 24 year old man and that saints visit him, etc. Anyway, he believes God has placed him in a position of authority above the priests and bishops. One of the things he does is he tries to bless our priest. When our priest doesn't accept the blessing, he curses the priest, calls him by his first name without "Father," etc. Anyway, it is just considered an arrogant thing to bless a priest.
In the Armenian Church, when you greet a priest, you are supposed to say "Orhniah Der," which roughly translated means, "Bless me, Father." The priest responds "Asdvadz Orhneh," which means "May God bless you." Then you don't say anything in response, accept to have whatever conversation you were going to have with him.