Discovered menu near the dairy section (9)
I believe the answer is:
unearthed
'discovered' is the definition.
(I've seen this in another clue)
'menu near the dairy section' is the wordplay.
'section' indicates the answer is hidden within the clue.
'UNEARTHED' is hidden in the letters of 'menu near the dairy'.
(Other definitions for unearthed that I've seen before include "Dug up" , "Discovered something hidden by digging" , "found" , "unsafe condition of electrical apparatus" , "Excavated, brought to light" .)