Put out by good books about America (4)
I believe the answer is:
oust
'put out' is the definition.
(I've seen this before)
'good books about america' is the wordplay.
'good books' becomes 'ot' (Old Testament).
'about' is an insertion indicator.
'america' becomes 'us' (abbreviation for the United States).
'ot' placed around 'us' is 'OUST'.
'by' acts as a link.
(Other definitions for oust that I've seen before include "Get rid of" , "Extract" , "responsible for expulsions" , "Force from office" , "Expel - eject" .)