Green’s Dictionary of Slang

paraffin n.2

[rhy. sl.; paraffin oil, pron. ‘ile’ = style]

(Scot.) style.

[UK](con. 1920s) McArthur & Long No Mean City 28: In the language of the Gorbals, he was ‘well put on’ and proud of his ‘paraffin’.
[UK]K. Mackenzie Living Rough 161: I figured in Glaswegian language that I was ‘well put on’ in my new paraffin.
[Scot](con. mid-1960s) J. Patrick Glasgow Gang Observed 89: In the language of the Gorbals, he was ‘well put on’ and proud of his ‘paraffin’ [...] The full phrase would be, ‘he was proud of his paraffin ‘ile’ (the Glasgow pronunciation for ‘oil’) which also rhymes with ‘style’.