Lines once disfiguring lip or cheek (9)

I believe the answer is:

insolence

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'cheek' is the definition.
(I've seen this before)

'lines once disfiguring' is the wordplay.
'disfiguring' indicates an anagram (I've seen 'disfigured' mean this).
'lines'+'once'='linesonce'
'linesonce' anagrammed gives 'INSOLENCE'.

'lip or' acts as a link.
This may not be correct. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for insolence that I've seen before include "Rude behaviour" , "Hubris" , "Rudeness, disrespect" , "Rudeness, impudence" , "Impertinence, impudence" .)

I've seen this clue in the Sydney Morning Herald.

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