I don't think that there is anything you can do to help with shyness and clingyness at this age. I was (& still am!) an extremely shy child to the point I would give people dirty looks if they looked at me!
My DD isn't as shy as I was but very close and it wasn't until about 18-20 months that she started to become more social at playgroup. She too sat on my lap and watched on.
Not to say that your DD will remain shy. It could just be a stage.
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