Book lover decapitated famous statue again - a communist uprising (4,6)

'book lover decapitated famous' is the definition.
I know nothing about this answer so I can't judge whether this works.

'statue again a communist uprising' is the wordplay.
'statue' becomes 'avid' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'again' becomes 're' (prefix meaning 'again').
'communist' becomes 'red' (red can informally mean communist).
'uprising' says the letters should be written backwards.
'red' reversed gives 'der'.
'avid'+'re'+'a'+'der'='AVID READER'

Can you help me to learn more?