"small chest" is correct and usable in written English.
It could be used to refer to a chest of drawers or a box, for example: Jon kept his important documents in a small chest at the foot of his bed.
Stenciled hummingbirds adorn a small chest in a bedroom, and nearby, a flamingo lamp sheds light.
Generally speaking, nice-looking bras are limited to those with a small chest.
They puffed up like balloons to fill her small chest, to the delight of the surgical team.
One cunning item is a small chest of drawers meant to contain puzzle pieces, made in England in 1776.
Fulla has dark hair, brown eyes and a small chest, and wears a white headscarf and a coat.
Resting on a ledge is a small chest with some of his belongings, as well as his asthma pump and medications.
She set Tweety down on its back, legs up, and started doing small chest compressions — tiny ones really — with her fingertips.
Inside was a single, child-sized bed, a small chest of drawers, three upright wooden chairs and a gas heater – all furnished by Jenny Elliot.
Weighing in at 146 1/2, he has a small chest and a thin goatee, and he squints without his glasses.
