Codebreaker admitting to providing private education (8)
I believe the answer is:
tutoring
'private education' is the definition.
'tutoring' can be an answer for 'education' (tutoring is a kind of education). I'm not certain of the 'private' bit.
'codebreaker admitting to' is the wordplay.
'codebreaker' becomes 'Turing' (WW2 codebreaker Alan Turing).
'admitting' indicates putting letters inside (admit can mean to welcome in or accept).
'turing' enclosing 'to' is 'TUTORING'.
'providing' is the link.
Can you help me to learn more?
(Other definitions for tutoring that I've seen before include "Private instruction" , "class action" , "Giving individual instruction" , "Instructing, teaching" , "Giving private teaching to" .)