While there is no privilege you can revoke, and I'd wonder why you can't just create another user, the answer to your question is....
If you have the Enterprise Edition of Oracle you can use the Virtual Private Database feature to prevent tables from being selected. Here is an overview from the Oracle Database Security Guide 11g Release 2:
Oracle Virtual Private Database (VPD) enables you to create security
policies to control database access at the row and column level.
Essentially, Oracle Virtual Private Database adds a dynamic WHERE
clause to a SQL statement that is issued against the table, view, or
synonym to which an Oracle Virtual Private Database security policy
Oracle Virtual Private Database enforces security, to a fine level of
granularity, directly on database tables, views, or synonyms. Because
you attach security policies directly to these database objects, and
the policies are automatically applied whenever a user accesses data,
there is no way to bypass security.
When a user directly or indirectly accesses a table, view, or synonym
that is protected with an Oracle Virtual Private Database policy,
Oracle Database dynamically modifies the SQL statement of the user.
This modification creates a WHERE condition (called a predicate)
returned by a function implementing the security policy. Oracle
Database modifies the statement dynamically, transparently to the
user, using any condition that can be expressed in or returned by a
function. You can apply Oracle Virtual Private Database policies to
SELECT, INSERT, UPDATE, INDEX, and DELETE statements.
SELECT on a table you would need to do the following:
- Create a function that accepts a schema/object name and returns a WHERE clause style Varchar2. In this case it should return something like '1=2' when the user is the user you don't want to access its own objects.
- Call the Add_Policy function of the DBMS_RLS package for each table the user owns. This will create a policy attaching the function to the table it will protect.