I had a heck of a time with my right nipple bleeding. It started bleeding 3 days after I got it done, and bleed pretty heavily (soaked a bandaid) for about a week. I'd be careful of moving it around too much in the process of getting the blood off in case you aggravate the piercing more. What I did was soaked for 10 minutes and, very gently, got as much blood off as I could without causing any pain.
If you have a problem with in continuing to bleed, try leaving it alone and letting it scab over (that was the advice given to me) and leave it for a week.
And for the love of god, get the other nipple pierced. :p
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