Though having examined carefully, had been cheated (6)
I believe the answer is:
conned
'cheated' is the definition.
(conning is a kind of cheating)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for conned that I've seen before include "Studied carefully" , "Deceived" , "Studied; cheated" , "Taken in, tricked" .)