L.B.
My daughter was clingy too. I learned to adapt and allow it. I don't believe in letting babies cry. 11 months old is still a baby, not a toddler and although a couple of minutes is alright, simply allowing them to scream at this age is not. Once they reach that toddler phase, somewhere around age 2 then I change the philosophy but not before then.
I used a baby carrier, put my daughter in it, and did what I needed to do. Once she started walking she stopped being so clingy. She didn't learn to walk till late but that's not the end of the world. Because she could walk she could follow me around and cling if she wanted to. I just learned to talk to her or sing to her while I was doing what I needed to do.
It's just a phase, it doesn't last forever. If you push her away too much now she'll be even more clingy later. My personal belief is to allow the clingy thing when they are little and then it should disappear when they are toddlers/school age. If you push them away now I believe they get more clingy later, not less.
BTW, there's a difference between allowing her to be clingy and encouraging her to be clingy. Encouraging her would be not allowing her to roam when she was ready, like when you're out. Allowing her is simply saying okay you're clingy and picking her up when she wants to be held.
Good luck!