Set of books this writer wrapped in paper in tasteful style (8)
I believe the answer is:
daintily
'in tasteful style' is the definition.
'set of books this writer wrapped in paper' is the wordplay.
'set of books' becomes 'nt' (New Testament).
'this writer' becomes 'i' (the person who is writing these clues).
'wrapped in' indicates putting letters inside.
'paper' becomes 'daily' (a daily is a kind of newspaper).
'nt'+'i'='nti'
'nti' placed inside 'daily' is 'DAINTILY'.
(Other definitions for daintily that I've seen before include "genteel manner" , "in a fastidious manner" , "elegance" , "without clumsiness" .)