Meaning
To curse someone out loudly and abusively — to quarrel at them with a torrent of insults. To 'trace off' a person is to give them a furious, public tongue-lashing, letting fly with every hard word, and a 'tracing' is such a blistering row. It names the very Jamaican art of the loud, no-holds-barred verbal quarrel, carried on across a yard or a street for all to hear, where the sharper and fiercer the tongue, the more telling the blow.
Examples
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She trace him off inna di market.
She cursed him out in the market.
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Di two neighba a trace over di fence.
The two neighbours are quarrelling loudly over the fence.
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Nuh mek she trace yuh.
Don't make her curse you out.
Origin
A Jamaican use of 'trace', in the sense of tracing out or reciting a long list of grievances and insults.
How it’s used
Specifically the loud, public, cursing kind of quarrel. Close to 'cuss', but 'trace' stresses the abusive, drawn-out tirade.