Anatole perplexed about name of newborn (8)
I believe the answer is:
neonatal
'of newborn' is the definition.
(I know this)
'anatole perplexed about name' is the wordplay.
'perplexed' is an anagram indicator.
'about' indicates putting letters inside.
'name' becomes 'n' (common abbreviation e.g. on forms).
'anatole' anagrammed gives 'neoatal'.
'neoatal' placed around 'n' is 'NEONATAL'.
(Other definitions for neonatal that I've seen before include "at a very young age" , "Of a new-born infant" , "Relating to an infant during its first month" , "Recently delivered" , "Like clinic" .)