Money leaving our bank accounts can't really be a positive, but My Dreams, My Symbolism thinks otherwise. They note that if you have an itchy right hand, it should actually be viewed as a good thing because even if it means money is leaving your hand (wallet?) it could mean that the moolah is going into an investment. In other words, there's a chance that it could come around again.
Still, because these stories are hardly set in stone, as Dream Astro Meanings says, interpreting an itchy hand is not as simple as it sounds. Since most of us are dominant on one side, an itch on the dominant hand means you're about to start something that will yield results, but if the passive hand needs a scratch, then expect an external force to wake up your energy. We kind of like the (vague) sound of that better.
But if your right hand is really itchy, you're probably better off taking a closer look at it for signs of allergic reactions, or eczema (via WebMD). If your right hand looks clear, then you're welcome to either hang onto your wallet to make sure nothing flies out, or dream big dreams because something could be just around the corner.