Put out books about America (4)
I believe the answer is:
oust
'put out' is the definition.
(I've seen this in another clue)
'books about america' is the wordplay.
'books' becomes 'OT' (abbreviation for Old Testament).
'about' means one lot of letters goes inside another.
'america' becomes 'US' (United States).
'ot' going around 'us' is 'OUST'.
(Other definitions for oust that I've seen before include "Drive out, expel" , "Send packing" , "Force out; supplant" , "Overthrow" , "Turn out" .)