Will you correct a coworker of yours if they got your first name wrong?

My last name is also a first name and it really bugs me when I get called that, but I don't know if they think it's my first name. I'll put up with it for a while and then I say this isn't the military or prison, don't call me that.

Yes.
You may not have much in life. You may even be considered the 'lowest of the low' according to your workmates/employers !
But your name indicates who you are to the world.
It separates everybody else from you.

Of course I would.

people always get my surname wrong
time and time again
it frustrates the heck out of me