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.
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)
the apple doesn't fall far from the tree