As the others have said, she acts out with you because she's completely confident about your love and reliability. So don't worry that she's behaving this way. The daycare folks should know this, FYI.
Now, just because it's a sign that you're a good mom, doesn't mean you have to put up with it! I'd say have a little "leaving daycare" ritual -- to help her make the transition. Like, say goodbye to the teacher, kiss the teddy bears, touch the cabinet door (kids are weird!), then we go. At that point, firmly say, now it's time to go home and eat dinner/read stories/give the kitty her kisses. Something that she can look forward to and that is also a coming home ritual.
And when that doesn't work, give one warning. When that doesn't work, pick her up and walk out, strap her in the car seat, and drive home. You're bigger than her, and you're the mom -- you make the decisions. Lol, one time I hauled my son to daycare stark naked, handed kid and clothes to the teacher, gave him a kiss and said Bye! (Then sat in my car and cried, I'm not an ogre!). Getting out in the morning was lots easier after that!
And if you screw it up, cut yourself some slack. Parenthood is not for cowards!