If you'd like to implement persistent DHCP bindings on Cisco IOS, but cannot store them on an external server, you could always use the on-board NVRAM. Simply configure ip dhcp database nvram:dhcp.txt. Later on, you can examine the contents of the dhcp.txt file with more nvram:dhcp.txt command.
This post was written in 2007, when a lot of low-end Cisco routers still shipped with flash formatted in the “old” Cisco format and the flash was not really usable to store ever-changing files. For more details on storing DHCP bindings in onboard flash, read the Flash-based DHCP Database blog post.