Chinchillas can and do send out puffs of smell when peed off
Chinnnie farts, but as for each having it's own smell no, all mine smell alike. Or rather don't smell.
I get no odor from my chins unless they poof at me. Like when they don't want to get in or out,or
some of mine hate beng held by the tail as in grooming and will puff at me.If they are on the floor and I catch them by the tail I can even see whitish inners at their anus, and sure enough a poof.
Could this be what your smelling?
It doesn't linger long, but if one hates being handled you'd get this smell just for a sec. when you first pick him up.