The correct answer to this question of course is biochemical individuality. I know that's not a great answer but it's truth.
On the other hand, I have seen many consume up to one cup daily of heavy whipping cream and in the absence of higher glycemic carbohydrate do relatively well losing.
There is a Dr. out of Poland who actually recommends that amount. Dr. Jan Kwasniewski, nominated for 2 Nobel Prizes in Medicine, is known as the Polish Atkins for the success of his weight loss programs.
I probably consume about 1/2 cup daily and do very well.
How have your losses been? Have you tried limiting to eliminating it to experiment?
I always tell folks to reduce the carbohydrate first. If that isn't doing much in a 7 day period, start looking at your dairy consumption.
We usually find our answers with experimentation and patience.