There is most likely very little that can be done to improve clearance rates for burglaries unless more resources are made available to the police. Outside of that, the best way to improve clearance rates is probably to enact community policing-type programs.
The best way to clear burglary cases is to have the police notified of them as they are happening or to have the police be given usable information about the burglars. This can best be accomplished by having people in a neighborhood be more observant. If the police can work with citizens to create effective neighborhood watch programs and the like, they are more likely to get the sorts of tips that they can actually use to clear their cases.
In this way, the best hope for clearing burglary cases is to use the public as a resource.