Many chinchilla owners let their chins romp free in a chin-proofed room. Since chinchillas chew everything and are quite small, you must ensure that there are no electrical wires or small holes for them to get into.
My chin-proofed area is the bathtub. And of course to socialize with Chico, I sit in the tub and play with him. Chinchilla owners affectionately refer to this bonding time as “Mommy mountain” because chinchillas love to climb, hop, and explore!