What is the added value for learning F# when you are already familiar with LISP?
I'm not sure if you would? If you find F# interesting that would be a reason. If you work requires it, it would be a reason. If you think it would make you more productive or bring you added value over your current knowledge, that would be a reason.
But if you don't find F# interesting, your work doesn't require it and you don't think it would make you more productive or bring you added value, then why would you?
If the question on the other hand is what F# gives that lisp don't, then type inference, pattern matching and integration with the rest of the .NET framework should be considered.