Cadger is wrong and there's a shame in that (8)
I believe the answer is:
disgrace
'there's a shame in that' is the definition.
'disgrace' can be an answer for 'there's a shame' (synonyms). I am not sure about the rest of the definition.
'cadger is wrong' is the wordplay.
'wrong' indicates anagramming the letters.
'cadger'+'is'='cadgeris'
'cadgeris' anagrammed gives 'DISGRACE'.
'and' acts as a link.
Can you help me to learn more?
(Other definitions for disgrace that I've seen before include "Shame or loss of respect" , "scandal" , "Loss of good reputation" , "Loss of reputation as the result of dishonourable action" , "Cadger is in state of ignominy" .)