Protective cover? There's audible demand for that (4)
I believe the answer is:
caul
'protective cover?' is the definition.
(I know that caul is a type of cap)
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for caul that I've seen before include "Membrane found on child's head at birth, considered lucky" , "Membrane around fetus" , "Membrane sometimes on child's head at birth" , "Membrane covering an infant's head" , "Membrane sometimes on head of new-born baby" .)