I don't feel this is a behavior to be 'corrected', she loves you and wants to be near you. She is undergoing emotional, developmental and physical changes as she grows and is looking to you to fill the security gap she feels during these changes. As much as her wanting to be cuddled all day seems like a big inconvenience, it is just one of her needs at this stage, and pushing her away or choosing NOT to fulfill that need will likely cause more harm than good. Let's face it, kids aren't 'convenient', but that's not why we had them right? Hang in there and fill her needs for the time being. I strongly feel that the more physical contact and closeness that you offer whenever she needs/wants it will create a much more settled, secure and confident child that trusts and knows that people will be there when needed, especialy her parents. If she feels like she has to beg for cuddling, is told no or isn't provided it when needed, she will stay clingy, whiny and insecure...
I would invest in a sling, carrier or wrap and wear her throughout the day as much as possible. I am certain this will resolve her emotional stress, and free yor hands for housework, computer, dinner, whatever else has been keeping you from her when she is upset. Keep in mind that kids mature and develop at al different rates and some also have sensory needs that others don't seem to have. Give her what she needs and you will all be happy and the outcome will be great! Best wishes and happy wearing! Cheack out the mothering.com website and search baby wearing. She is not too ld nor too big. My Beco carrier holds up to 45 pounds!