Caesar finds us after a month (8)
I believe the answer is:
augustus
'caesar' is the definition.
The answer and definition can be both people as well as being singular nouns.
Perhaps you can see an association between them that I can't see?
'us after a month' is the wordplay.
'after' is a charade indicator (letters next to each other).
'a month' becomes 'August' (August is an example).
'us' put after 'august' is 'AUGUSTUS'.
'finds' acts as a link.
Can you help me to learn more?
(Other definitions for augustus that I've seen before include "statesman of old" , "Roman emperor, of a summer month?" , "Fort --, Scottish town" , "John, say" , "head for Rome" .)