Meaning
To hold a grudge and refuse to speak to someone — to give them the silent treatment because of a falling-out. When two people 'a malice each other', they are on bad terms and pointedly not on speaking terms, cutting one another dead. Unlike the English noun, the Jamaican 'malice' is chiefly this active verb, naming the whole sulking, silent standoff of a quarrel, and to 'malice' a person is to freeze them out, sometimes for a long stretch, until the coldness thaws or the feud is settled.
Examples
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Dem a malice each other over di money.
They're not speaking to each other over the money.
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Nuh malice mi, mek wi talk it out.
Don't hold a grudge against me, let's talk it out.
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She malice him fi a whole year.
She refused to speak to him for a whole year.
Origin
From the noun 'malice' (ill will), turned in Jamaican into a verb for the sulking silence of a grudge.
How it’s used
Specifically the silent-treatment kind of grudge — cutting someone off rather than openly quarrelling. A common feature of family and community fallouts.