A person who sees a fireplace damper in their dream may be expressing feelings of containment, and needing to let go of pent-up emotions. The idea that there is a place where one can be safe, such as the refuge from harsh outside realities offered by a warm home fire, may also be underscored.
If one sees themselves shutting the fireplace damper in a dream, this might signify protection and security. If one sees it being opened or letting smoke out from inside, this might signify an emotional release which involves clearing out negativity or something unwanted in order for there to be peace.
Common causes for these dreams are deeply buried fears or suppressed anger which are finally coming to light after being repressed for so long.