I think a babies behaviour has a lot to do with personality. My son was like you describe your daughter - permanently attached to me, not at all independant. I hate to tell you thats hes still the same at 3. He cried all the time as a baby and still is a difficult little sod. He can also be the most beautiful child though.
My daughter, who is the happiest soul, doesn't care what I'm doing half of the time. She has entertained herself from an early age. She also has a quick temper with her brother.
I think personality types are predetermined at conception and shaped after birth. Most babies go through a clingy stage - I'm sure she will get over it eventually. It's amazing how different babies are, if you sit in a room with a bunch of mothers with babies the same age as yours you will see that they are all different and that some are more clingy than others. Just like adults they are all different.
There is nothing wrong with wanting me time. Everyday when my daughter goes down for her sleep I put my son in front of a DVD and lay beside him on the bed and try to read/rest/daydream in peace (well that is if I can ignore Buzz Lightyear and Woody). If not I lay on the lounge and put on the wiggles - watching the kids dance always brings a smile to my face.
Hayley, NSW, Liam 07/02, Beth 09/04, Nate 03/06