A.W.
My daughter always sat on my lap in public or wouldn't leave my side if I was standing. She even required a 20 minute warm up whenever we had a playdate. She completely broke out of her shell a couple of months into her first year of preschool when she went 2 mornings/week. I couldn't believe how she blossomed. She's a very friendly 5 year old now.
Enjoy these years, my second (now 2) is completely opposite and so overly friendly and dare I say wild, that I can hardly take her in public.