Bone picked up from the last of half a dozen roosters? (6)
I believe the answer is:
coccyx
'bone' is the definition.
(coccyx is a kind of bone)
I cannot understand how the remainder of the clue works.
(Other definitions for coccyx that I've seen before include "End of the human spinal column" , "fused vertebrae" , "bit of backbone" , "Human tail?" , "Tailbone" .)