Achieve some basic education with a head (5)
I believe the answer is:
reach
'achieve' is the definition.
(I've seen this before)
'some basic education with a head' is the wordplay.
'some basic education' becomes 'r' (I've seen this in other clues).
'with' is a charade indicator (letters next to each other).
'a head' becomes 'each' (I have seen 'A head' mean 'each' so perhaps 'head' could also mean 'each').
'r'+'each'='REACH'
(Other definitions for reach that I've seen before include "Attain - make contact with" , "Stretch of river: achieve" , "It's an advantage for a boxer" , "Put out the hand for a part of the river" , "compass" .)