What could be done to improve the burglary clearance rates?

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.