Yep... it definitely sounds like Carpal Tunnel to me... I had CT with Harrison and most of the time, I was in pain with it... but toward the end (the last month to be exact) I was like this... I remember my hands stiffening up and going almost like a claw when I was holding my then 5 month old nephew... I had to get DH to take him off me because I was scared about dropping him.
I still get it on and off... but nothing like it was during my pregnancy.