I never really cared for sign names. I don't have one myself. A few people have given me one, but it never falls through. I've got a few different sign names signed only by specific individuals. Other than that, I have none.
My sign name is something that people don't even consider a sign name... a 'S' on the chest where my name tag would be. That's it. 
I've had people ask me to give them a sign name. Yet, I can't... because it's something that takes time through observation, experience, and actions. 