To clean and maintain rattan furniture, you should keep the rattan out of the damp. Damp can give rise to mildew problems that can make the furniture look unsightly over time. Once you get mildew on the furniture it can be difficult to get rid of, generally you are going to have to get out a bottle of bleach, dilute, and scrub to remove mildew.
Having said that, if you have natural wicker furniture it shouldn’t be allowed to dry out either as it becomes brittle. To achieve a happy balance you need to wipe down rattan furniture with a damp cloth containing a mild detergent from time to time, brushing with a stiff brush will remove dust from the weave and keep the furniture looking fresh. UV light can fade natural rattan, so try not to leave the rattan exposed for to long without cushions or covers. To really extend the lifetime of natural wicker rattan garden furniture you really should store the furniture indoors out of the weather when not in use, unless you live in a tropical environment.