Is ecstatic being a new parent (6)
I believe the answer is:
enrapt
'is ecstatic' is the definition.
(I've seen this in another clue)
'a new parent' is the wordplay.
'a new' is an anagram indicator.
'parent' with letters rearranged gives 'ENRAPT'.
'being' is the link.
(Other definitions for enrapt that I've seen before include "Sent" , "Deeply absorbed in something" , "state of ecstasy" , "Spellbound" , "Fascinated" .)