Getting my kid prepared for school

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I have a 2yr old and i have put her to a playgroup this year. I was there with her for a week but even now she is not able to let me go. Today i was there for the full two hours and she just clung to me and refused to do any of the activities. Many of the kids have got adjusted but my kid seems to be taking a lot of time. When she comes home or goes to play at her friends place she is a totally different person. She does not ask for me for at all but at her school she starts to scream the minute she does not see me. Tomorrow i am planning to just drop her and come straight away. Would this approach help?