Parents of 2 yr olds, help please!

Okay, so I'm sure this has been posted before but I'm in need of some serious advice. My daughter is 2 years old, and she is lovable as hell and very independent. But lately, she's been having these crazy fits! She'll scream and cry for almost an hour. Sometimes it's because I tell her no to something and sometimes it's just random. I'm not a push over parent and she has since grown up hearing no and being okay with it for the most part. And she's been EXTREMELY clingy. Always wanting to be held, won't hold my hand when we walk but demand I pick her up and if I don't she'll stand there and cry. Most times I'll try to make a game of it but she won't fall for it. I just need some advice.. My dh and I are at a loss..