Possibly cares about a famous Roman (6)
I believe the answer is:
caesar
'famous roman' is the definition.
'Caesar' can be an answer for 'roman' (Caesar is an example). I'm not certain of the 'famous' bit.
'possibly cares about a' is the wordplay.
'possibly' indicates an anagram.
'about' indicates putting letters inside.
'cares' anagrammed gives 'caesr'.
'caesr' enclosing 'a' is 'CAESAR'.
Can you help me to learn more?
(Other definitions for caesar that I've seen before include "extraction operation" , "Augustus or Hadrian, say" , "Eg, Augustus, Julius" , "Old Roman leader" , "See 2" .)