The two things that are unique about that rock are: first of all its amazing location close to jaffa port the other thing is the legend about it. In the other do not expect to see more than a small,nothing special, rock. But with a great view
I was expecting wayyyy too much when i got in the area of the Andromeda's rock... and have been very disappointed... There is simply nothing to see at the moment. guide books says the statue hasn't been built on the rock yet. Well, don't go before it has ! This is pointless, and you can find many more other spots...
The ancient Jaffa inside the city walls is just a number of small houses on the slope towards the sea.
It is still possible to see the ancient harbour, and to the right from it, the legendary Andromeda's rock where Andromeda was rescued from the sea beast Craken by Perseus.