Infamous red mark -- lipstick initially involved (6)
I believe the answer is:
stalin
'infamous red' is the definition.
The answer and definition can be both people as well as being singular nouns.
Perhaps you can see a link between them that I can't see?
'mark lipstick initially involved' is the wordplay.
'mark' becomes 'sta' (I can't justify this - if you can you should give a lot more credence to this answer).
'initially' indicates taking the first letters.
'involved' becomes 'in' (to be involved in something is to be 'in' it).
The first letter of 'lipstick' is 'l'.
'sta'+'l'+'in'='STALIN'
Can you help me to learn more?
(Other definitions for stalin that I've seen before include "Joseph -, Russian World War two dictator" , "Russian WW2 leader" , "Dreaded dictator among Latins" , "Russian tyrant" , "Dread dictator among Latins" .)