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A son who looks or behaves like his father is known as chip off the old block. I would like to know whether there is any other specific word or phrase meaning a daughter who looks or behaves like her mother.
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It's not exactly the same as "chip of the old block" but a very similar phrase would be

Like mother, like daughter (or like father, like son)

These phrases denote their personalities (rather than looks)
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the apple doesn't fall far from the tree