What is "legacy mode"?
From Joomla! Documentation
The "J1.5" namespace is an archived namespace. This page contains information for a Joomla! version which is no longer supported. It exists only as a historical reference, it will not be improved and its content may be incomplete and/or contain broken links.
Legacy mode is a Plugin that can be activated by enabling the "System - Legacy" Plugin in the Plugin Manager. This Plugin emulates Joomla! 1.0 and allows many version 1.0 extensions to run on Joomla! 1.5. There is a minimal performance decrease by this, but in most cases it is not significant.
Extension providers still need to test and certify that their 1.0 extensions work in legacy mode. This is indicated by the tab "1.5 Legacy" in the Joomla! Extensions Directory listing.
Legacy mode should be viewed as transitional software that allows you to work with version 1.0 extensions until the extension provider has reworked the extension to work with 1.5 in native mode.