I quit shaving my arm pits for my husband about a year or so ago and actually think I prefer it. I shave them if I am going to risk a chance of them being viewable in public. I also have very light (in color and amount) body hair. Previously, I had shaved my arm pits every day since I was in my preteens. Now, I have found that I sweat less and have less paranoia about "pit" odor when I don't shave them.
Here is why: When you have freshly shaved pits, it is hard for deoderant/anti-perspirant to stay on the skin. I would end up re-applying my deoderant multiple times a day. Now, I put it on once in the morning and it's good the rest of the day. I don't know if this works with people who are really hairy, but most people I know who skip shaving aren't very hairy naturally.
I'm not a feminist. I'm not a granola. I still shave often and never show hairy legs (or even arms for that matter). I would, however, recommend giving pit shaving a break for a couple of weeks. The experience may surprise you.