Material deftly wrapped to cover Caesarian section (4)
I believe the answer is:
sari
'material deftly wrapped to cover' is the definition.
'caesarian section' is the wordplay.
'section' indicates a hidden word.
'SARI' is hidden in the letters of 'caesarian'.
(Other definitions for sari that I've seen before include "Indian robe" , "Traditional dress of Hindu women" , "Something worn" , "Hindu woman's dress" , "Traditional dress of Indian women" .)