Carol, having eaten rich food, is yelling (9)
I believe the answer is:
screaming
'is yelling' is the definition.
(I've seen this before)
'carol having eaten rich food' is the wordplay.
'carol' becomes 'sing' (I've seen this in other clues).
'having eaten' is an insertion indicator.
'rich food' becomes 'cream' (rich or creamy food).
'sing' going around 'cream' is 'SCREAMING'.
(Other definitions for screaming that I've seen before include "Shrieking" , "Uttering sharp piercing cries" , "Yelling" , "Emitting sharp, piercing cries" .)