My daughter turned 2 at the end of March and she is extremely clingy with me as well - she even tells my husband "go way daddy". I think it's just a phase. I work full time, and when I get home she is stuck, literally, to my leg all evening. I’m 5 months pregnant, so right now she’s an only child. I think all children go through this stage. Just ride it out, try to spend as much time with her as you can. As much as you want to give equal attention to both kids, I remember reading somewhere that the older child will have memories of being “rejected” by a parent than the younger one, especially when so young. Yes, it’s important to bond with the 5 month old, but they won’t be “scarred” if Daddy does alot of the cuddling, bathing etc. Your oldest will feel the impact of "Mommy rejection" the most.
Also, try getting your oldest to be a “big girl” in helping you with the baby. Really make her feel included with all the activities you do with the baby. Bath them together, sit on the couch together etc.
I figure children are young for a short period, so I’m trying to enjoy all the Love my daughter gives to me...before long she’ll be telling me that she doesn’t want me to kiss her in front of her friends!
~J.