set enable_seqscan=off;
CREATE TABLE test_timetz (
	i timetz
);
INSERT INTO test_timetz VALUES
	( '03:55:08 GMT+2' ),
	( '04:55:08 GMT+2' ),
	( '05:55:08 GMT+2' ),
	( '08:55:08 GMT+2' ),
	( '09:55:08 GMT+2' ),
	( '10:55:08 GMT+2' )
;
CREATE INDEX idx_timetz ON test_timetz USING rum (i);
SELECT * FROM test_timetz WHERE i<'08:55:08 GMT+2'::timetz ORDER BY i;
      i      
-------------
 03:55:08-02
 04:55:08-02
 05:55:08-02
(3 rows)

SELECT * FROM test_timetz WHERE i<='08:55:08 GMT+2'::timetz ORDER BY i;
      i      
-------------
 03:55:08-02
 04:55:08-02
 05:55:08-02
 08:55:08-02
(4 rows)

SELECT * FROM test_timetz WHERE i='08:55:08 GMT+2'::timetz ORDER BY i;
      i      
-------------
 08:55:08-02
(1 row)

SELECT * FROM test_timetz WHERE i>='08:55:08 GMT+2'::timetz ORDER BY i;
      i      
-------------
 08:55:08-02
 09:55:08-02
 10:55:08-02
(3 rows)

SELECT * FROM test_timetz WHERE i>'08:55:08 GMT+2'::timetz ORDER BY i;
      i      
-------------
 09:55:08-02
 10:55:08-02
(2 rows)