Other than the ridiculously expensive kid's USPS and Discovery yellow jerseys that were sold the last couple of years, I haven't seen anything small enough to fit a 3 year old girl. I've noticed cycling is influencing fashion lately (all those shoes that look like bike shoes), so maybe you can find her an "exercise" top with a front zip. They may have something like this at Target or a *sporting goods* store.
The bicycle is the most civilized conveyance known to man. Other forms of transport grow daily more nightmarish. Only the bicycle remains pure in heart. ~Iris Murdoch, The Red and the Green