Hi Lacy,
I stayed home with my daughter and she would do the exact same thing as though she hadn't seen me in days. I remember trying to prepare dinner and her pulling at my leg then falling out and crying until she vomited.
What worked for me was giving her a few pots, lids and spoons. She'd pretend she was cooking. She loved it because they were real, the same thing mommy had, not toys. This worked for a while, when she went back to crying I would tell her to help mommy and try to include her.
Take small breaks in between and tell her that she's a big girl and how well she's doing and give her hugs and kisses.
It is time consuming but it is the difference between losing your mind and maintaining sanity. Talk to your husband and let him know what's going on and that something’s may not get done and dinner may be late. You are working fulltime and some things will and should fall behind. Don't beat yourself up over it. If you have to choose between vacuuming and giving her the attention she needs, choose her. The vacuum will be there tomorrow.
She may seem big to you right now because you've watched how much she's grown from birth, but she is still a little baby and you are the center of her world. Enjoy her.