Anne plays with a lot of babies (8)
I believe the answer is:
neonatal
'of babies' is the definition.
(I know this)
'anne plays with a lot' is the wordplay.
'plays with' indicates an anagram.
'a'+'lot'='alot'
'anne' with its letters mixed up with 'alot' makes 'NEONATAL'.
(Other definitions for neonatal that I've seen before include "Describing newly-born" , "Relating to newborns" , "Like clinic" , "at a very young age" , "Of a new-born infant" .)