Not much now, but if this becomes the norm, transaction fees will stop you. Or at least discourage heavily - excessive transactions aren't great for the network because they bloat the block chain. Mixers largely bypass this concern because they can deal with larger blocks of money and more people than you can realistically do yourself, so the transaction fees are basically inconsequential.
Also, if you do this, you're likely not forming a new TOR connection each time you do any transaction, so you're leaking your IP address and traffic - easy to gather and be reasonably confident that someone is doing precisely what you described, and since it's all recorded forever, all the actions are essentially tainted forever. If you do form a new connection each time, you'll slow down substantially, and there may be a way to block you at the entry points to the TOR network (I don't remember TOR's details well enough to be sure, though).
edit: also, this will be very easily identified behavior unless people do it all over the place (and then transaction fees are basically guaranteed soon after), so you'd stick out like a sore thumb. I would be willing to bet that while it would give you some anonymity and you might shake off a few addresses, you won't gain complete anonymity, and it'll probably ultimately be worse and slower and harder than just using a few mixers. And if you ever transact them in a way that re-forms those connections (if they're all millionths of a coin, it's unavoidable), you just undid almost all your work.