Dear K.,
Your daughter sounds so perfectly normal! I have found with my three that the clingy phase can be anywhere between 9 mos to 2 years old. Some babies are good at playing on their own, and some are not (usually first children are not). Breastfed babies who are held by their parents when they ask for it learn security - from a person, not a substitute - and that's a great thing. She's hit a normal phase, and your response to it will teach her that you're still there for her as a source of comfort (or that you're not). I encourage you to be patient and be there for her - it will be a short season in the long run! And then she will be secure and you won't have to address insecurities that crop up later. Our culture is good at pushing independence from the get-go, but the results are not so great.
I encourage you to consider wearing her in a sling or ERGO to help you have free hands. Here's a comparison chart so you can research - http://www.nurturedfamily.com/baby-slings.aspx - This is our family business - but honestly, look for it wherever - I just think it would help you out. My favorite sling is the SlingEZee, because the padding helps with comfort, especially while carrying a heavy toddler (and it comes in 5 sizes, which is a MUST for a padded sling). I easily carry my 19 month old in my SlingEZee or ERGO.
Your daughter will learn to love playing with other children and toys (probably closer to the age of 3 - before then, they tend to just parallel play). Ironically, it will be easier for her to branch away from you in the future if this need is met by you during these early years. I know it's exhausting, but your sacrifices will be so worth it!
Blessings,
R.
Supporting you as you nurture your family.
www.NurturedFamily.com