Not a parent to embrace Ovid or be frugal (9)
I believe the answer is:
provident
'be frugal' is the definition.
(I've seen this before)
'not a parent to embrace ovid' is the wordplay.
'not' is a deletion indicator.
'to embrace' means one lot of letters goes inside another.
'parent' with 'a' taken away is 'prent'.
'prent' enclosing 'ovid' is 'PROVIDENT'.
'or' acts as a link.
(Other definitions for provident that I've seen before include "Providing for future needs" , "Prudent, far-sighted" , "Careful, thrifty" , "Frugal" , "Thrifty; far-sighted" .)