From local man, a city annual (7)
I believe the answer is:
almanac
'annual' is the definition.
(almanac is a kind of annual)
'from local man a city' is the wordplay.
'from' indicates the answer is hidden within the clue.
'ALMANAC' can be found hidden inside 'local man a city'.
(Other definitions for almanac that I've seen before include "Informative calendar" , "Statistical calendar" , "Indicates dates" , "periodic publication" , "Annual list of dates" .)