Check Postgres access for a user

For all users on a specific database, do the following:

# psql
\c your_database
select grantee, table_catalog, privilege_type, table_schema, table_name from information_schema.table_privileges order by grantee, table_schema, table_name;

You could query the table_privileges table in the information schema:

SELECT table_catalog, table_schema, table_name, privilege_type
FROM   information_schema.table_privileges 
WHERE  grantee = 'MY_USER'