Independent avoiding stories on native teaching (6)
I believe the answer is:
'teaching' is the definition.
(lesson is a kind of teaching)
'independent avoiding stories on native' is the wordplay.
'independent' becomes 'i'.
'avoiding' indicates named letters should be taken away.
'stories' becomes 'lies' (I've seen this before).
'on' is a charade indicator (letters next to each other).
'native' becomes 'son' (I've seen this before).
'lies' with 'i' removed is 'les'.
(Other definitions for lesson that I've seen before include "Unit of instruction" , "Sermon or teaching session" , "Sermon or lecture" , "Single period of instruction" , "A session in school or an example" .)