Way to reproduce endless Greek temple and first book (15)
I believe the answer is:
parthenogenesis
'way to reproduce' is the definition.
'endless greek temple and first book' is the wordplay.
'endless' means to remove the last letter.
'greek temple' becomes 'parthenon'.
'and' is a charade indicator (letters next to each other).
'first book' becomes 'genesis' (I've seen this before).
'parthenon' with its final letter removed is 'partheno'.
'partheno'+'genesis'='PARTHENOGENESIS'
(Other definitions for parthenogenesis that I've seen before include "Means to reproduce" , "virgin birth" , "Way of making young" .)