Walker's my name (5)
I believe the answer is:
tramp
'walker's' is the definition.
(street walker)
I don't understand how the rest of the clue works.
(Other definitions for tramp that I've seen before include "Mendicant" , "Walk noisily; vagrant" , "Live as a vagrant" , "March heavily like hobo" , "Walk with heavy steps like hobo" .)