During a fish in cycle, don't use the first replies advice, you need to have ammonia and nitrites to complete the cycle.
I went through 10 weeks of fish in cycling on a 90g, ammonia stayed around .50, and nitrites around 2ppm. No losses. Nitrites being at 5, you will want to do a pwc though, get them a little lower. I changed 10 gallons a day, unless there was a spike, then I'd do the appropriate size change to bring it down.
How long have you been cycling the tank? Being only 10 gallons of water, things can change in a heartbeat unlike my 90g. So you may have to do larger PWC daily to keep parameters at low levels (but not 0). My nitrites sometimes did spike off the chart too, but just change some water to bring it down, it will be a little more toxic in a small tank so quicker action is needed.
Be sure to have your aeration on it's highest setting during a fish in cycle. I almost lost everything the day the bubbler was off during the cycle.