One not struck by the idea of being honest (6)
I believe the answer is:
dodger
'one not struck by' is the definition.
I can't tell whether this definition defines the answer.
'idea of being honest' is the wordplay.
I cannot really understand how this works, but
'idea' could be 'dodge' (dodge is a kind of idea) and 'dodge' is found within the answer.
A single letter 'r' remains which might be clued in a way I don't see.
This explanation may well be incorrect...
'the' acts as a link.
Can you help me to learn more?
(Other definitions for dodger that I've seen before include "Oliver is the artful one" , "The Artful . . . . . . was Oliver Twist's friend" , "Roger, possibly" , "Dickens created an Artful . . . . . ." , "Artful Dickens character" .)