Liquidmetal doesn't harden into a crystalline molecular structure like most metals and metal alloys do. It behaves almost like plastic in that it can be heated until it gets soft, then pressed into a complex shape. It doesn't have to be completely melted into a liquid and then poured into a mold like most metals.
So what's the advantage? Well, first of all, you don't need to heat Liquidmetal all the way up to its melting point to shape it. Less energy required. Second, because it never becomes a runny liquid, it's somewhat easier to control and to press into complex shapes. That means simpler molding and few if any grinding/drilling steps, which take time and energy and require additional machinery.
Other advantages include corrosion resistance and scratch resistance. Disadvantages include cost (at least in the original formulation) because of platinum being part of the formula.