[NTSysADM] Printers and Active Directory

[CSSU NetAdmin]

How do printers delete from a workstation if they are unlisted and removed
from the print server in AD?  Printers are deployed through AD with user
rights however, if we change who has rights to a printer, the printer will
remain on the person's workstation- who lost rights to it- and is not
accessible.  Aren't printers automatically removed from a person's machine
if rights change or the printer is no longer shared?