We have two chins. One was pregnant when we got her, the other is her son. . The Little mother is friendly, but not real excited about being lifted, she likes to come to us. The son, however, LOVES to be lifted, held, cuddled
...he is a real sweetheart. I think it may be partly about how long they have known you and partly about what life has shown them to expect from their humans.
We have a largish room, where they can get out separately, once a day, for about an hour (or until they get weary,lol). She loves to jump in our laps, climb on our shoulders, and cuddle in our hair, on her own. It has taken about three months to reach this level of comfort with her, and daily time spent being available for HER choice in affectionate closeness.
On the other hand, we held the little Sir from day one. Not knowing ANYTHING about chinchillas, we delighted in the tiny little boy. He was always so sweet, and even now - at two & a half months old, he is still a sweetheart. He divides his play time between running the length of the room, sailing off of the boxes we stack for him - climbing through the cardboard mazes my daughter builds and jumping into our laps - cuddling, giving a nose kisses, snuggling. He seems to be all about the cuddling some days,lol.
I don't know anything about her past, beyond a few weeks before we rescued her, but she seems to have been loved. She seems to be rediscovering her security with us. We don't push her, we just let her come to us.
Patience and understanding seems to be the key to these little ones. Remember, you may not know how they were treated before you became their chinparent, but they do. I hope you have as much joy and love with your little furry babe as we do with ours.