Close to bone in teaching, ignoring first instance of current assignment (11)

I believe the answer is:
attribution
'assignment' is the definition.
(I've seen this before)
'close to bone in teaching ignoring first instance of current' is the wordplay.
I cannot really understand how this works, but
'close' could be 'on' (I've seen this in other clues) and 'on' is found in the answer.
'bone' could be 'rib' (rib is a type of bone) and 'rib' is located in the answer.
'first' could be 'i' (Roman numeral for one or first) and 'i' is present in the answer.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for attribution that I've seen before include "The act of ascribing eg a picture to an artist" , "assignment" , "The ascribing of a particular work to an author or artist" .)
