Slap possibly leaving small marks on cheek (9)

I believe the answer is:

lipsticks

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'slap possibly leaving small' is the definition.
I can't tell whether this definition defines the answer.

'marks on cheek' is the wordplay.
'marks' becomes 'sticks' (I am not sure about this - if you are sure you should believe this answer much more).
'on' says to put letters next to each other.
'cheek' becomes 'lip' (both can mean insolence or rudeness).
'sticks' after 'lip' is 'LIPSTICKS'.

Can you help me to learn more?

I've seen this clue in The Independent.

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