That is totally normal behavior! I would not let her cry. This is a very important time for her to develop trust in you, and can set the stage for your entire relationship for decades to come. First, try a sling or carrier to get what you can done with that. We use a BabyBjorn carrier and I can get most of my housework done with that, and my 7-month-old LOVES it! I will be doing the most boring stuff in the world (dishes, laundry, etc.) and he is just happy as a clam. I'm like, "Wouldn't you rather be playing with your toys??" But nope! He'd rather be with momma, learning about his environment.
The exersaucer is a good idea, too! We have one that I keep in the bathroom for when I shower, and it really keeps him occupied. We also have a rainforest jumperoo that he LOVES, and that allows me to get stuff done that I can't do with him in the carrier, like working over a hot stove or changing the sheets.
I know it seems like a hassle now, but remember it's just a normal phase and if you work through it with her, you will be rewarded with a close relationship. Most babies are happy to play by themselves by the time they are one year old, and before that, once she starts crawling, she will be happy to be down on the floor. Just keep talking to her while you are working away, so she doesn't feel the separation anxiety so much.
Good luck!