UF is not for Chlorine removal and is mostly compatible with Chlorine. You have to choose a suitable de-chlorination process based on your application.
Check your UF membrane specification to see if it is compatible with chlorine. Many will tolerate some level of chlorine. I often use a type of UF membrane that will tolerate VERY high levels of chlorine.
As mentioned you can add SMBS (sodium metabisulfite) to remove the chlorine (this will result in chloride being formed), however, depending on your application and system you might also be able to remove chlorine using sunlight or a UV lamp.
UF cannot remove Chlorine in the water. Look for the filtration spectrum pdf file in google to find out what can MF, UF, NF and RO can remove. UF uses a membrane material and is classied as a separattion process. if you want to remove chlorine from water you can use carbon filter or SMBS dosing.
UF can only remove suspended solids or colloidal particles, but not soluble compounds like salts or organic matter. Chlorines is solved, so not removed with UF. It is the other way around, chlorine affects the membrane lifetime of polymeric membranes.