Work in kitchen? Say no more! (3,2)

I believe the answer is:
dry up
'work in kitchen?' is the definition.
(I've seen this before)
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for dry up that I've seen before include "Become parched or stop talking" , "(Of flow) decrease and stop" , "lend a hand in the scullery" , "(Of flow) cease, stop" , "Forget one's lines - become unproductive" .)
