She goes with some men, showing polish (5)

I believe the answer is:
sheen
'polish' is the definition.
(both can mean a shiny surface)
'she goes with some men' is the wordplay.
'goes with' is a charade indicator (letters next to each other).
'some men' becomes 'en' (I can't justify this - if you can you should give a lot more credence to this answer).
'she'+'en'='SHEEN'
'showing' acts as a link.
Can you help me to learn more?
(Other definitions for sheen that I've seen before include "splendid clothing" , "Surface gloss" , "Acting family" , "Polish" , "Superficial brightness" .)
