Your little one is now looking for a companion to play with. The more you interact with her, the more she feels secure; assuring her of your presence near her. This is part of her social development and occurs between 2 to 3 years of age.
What you need to know
At this stage, your availability is vital for her well being. This is a way for you to bond with your sweetie pie, to understand her, to have fun and get exercise. This will help her to learn new things and be creative. But, the way your little one wants to play with you will not be the same as how you want her to play. She will like to perform a task repeatedly. This is her way of learning to do things. As a parent, it may be monotonous and obsessive for you.
What you can do
Do not leave your little one to play on her own all the time, rather get involved in her play. You can help her make new friends. Invite her friends home for a playdate, so that she has a companion as a substitute for you. If your child is clingy and refuses to leave you, then you can consider adding a furry pet friend to the family.