Meaning
To hug, embrace, or cuddle up close — and, pointedly, to be all over someone in an affectionate or amorous way. To 'hug up' a person is to hold them warmly, and a courting couple 'hug up' together; said with an edge, 'dem a hug up' suggests they are getting too cosy or carrying on. The 'up' adds closeness and completeness to the plain hug. It can also mean to clutch or hold something tightly to yourself.
Examples
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Di baby hug up him mumma.
The baby hugged its mother close.
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Dem two a hug up inna di corner.
The two of them are cuddled up in the corner.
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She hug up di pillow an sleep.
She clutched the pillow and slept.
Origin
From 'hug' + 'up' (closeness); to embrace/cuddle up. See [[hold-down]], [[sweetheart-man]].
How it’s used
To hug/embrace/cuddle up close; can imply an amorous carry-on. See [[sweetheart-man]], [[wine]].