All I can say is don't worry. All of my children have gone through phases like this. I know it feels like you don't have any time to yourself right now.
I tend to take the laid back approach to these times. If they need me to be close then I'm there for them. If I need to get something done and can't hold them, then they sometimes have to whine and cry until I'm done. But that's ok.
I think your daughter is just needing reassurance that you are really there and you aren't going anywhere. Just be patient with her and treasure these times. In a few years she will not want those hugs and cuddles as much.
Jen, soon to be mommy to four