Something like this, if I've understood you correctly
SELECT
    MAX(CREATIONTIME),
    A.AID
FROM
    A
INNER JOIN
    B
    ON 
    A.AID = B.AID
INNER JOIN
    C
    ON 
    B.CID = C.CID
WHERE
    A.STATUS = 'OK'
GROUP BY
    A.AID
EDIT:
I have now checked the following in SQL Server (I would epxect the same outcome in Oracle) and it returns the CID for the C record with the Maximum CREATIONTIME where the STATUS for the related record in A id 'OK'.
SELECT C.CID
FROM 
C C
INNER JOIN
B B
ON 
C.CID = B.CID
INNER JOIN
(
    SELECT
        MAX(C.CREATIONTIME) CREATIONTIME,
        A.AID
    FROM
        A A
    INNER JOIN
        B B
        ON 
        A.AID = B.AID
    INNER JOIN
        C C
        ON 
        B.CID = C.CID
    WHERE
        A.STATUS = 'OK'
    GROUP BY
        A.AID
) ABC
ON B.AID = ABC.AID
AND C.CREATIONTIME = ABC.CREATIONTIME
Demonstrated with the following T-SQL
DECLARE @A TABLE(AID INT IDENTITY(1,1), STATUS VARCHAR(10))
DECLARE @B TABLE(BID INT IDENTITY(1,1), AID INT, CID INT)
DECLARE @C TABLE(CID INT IDENTITY(1,1), CREATIONTIME DATETIME)
INSERT INTO @A VALUES ('OK')
INSERT INTO @A VALUES ('OK')
INSERT INTO @A VALUES ('NOT OK')
INSERT INTO @A VALUES ('OK')
INSERT INTO @A VALUES ('NOT OK')
INSERT INTO @C VALUES ('10 MAR 2008')
INSERT INTO @C VALUES ('13 MAR 2008')
INSERT INTO @C VALUES ('15 MAR 2008')
INSERT INTO @C VALUES ('17 MAR 2008')
INSERT INTO @C VALUES ('21 MAR 2008')
INSERT INTO @B VALUES (1,1)
INSERT INTO @B VALUES (1,2)
INSERT INTO @B VALUES (1,3)
INSERT INTO @B VALUES (2,2)
INSERT INTO @B VALUES (2,3)
INSERT INTO @B VALUES (2,4)
INSERT INTO @B VALUES (3,3)
INSERT INTO @B VALUES (3,4)
INSERT INTO @B VALUES (3,5)
INSERT INTO @B VALUES (4,5)
INSERT INTO @B VALUES (4,1)
INSERT INTO @B VALUES (4,2)
SELECT C.CID
FROM 
@C C
INNER JOIN
@B B
ON 
C.CID = B.CID
INNER JOIN
(
SELECT
    MAX(C.CREATIONTIME) CREATIONTIME,
    A.AID
FROM
    @A A
INNER JOIN
    @B B
    ON 
    A.AID = B.AID
INNER JOIN
    @C C
    ON 
    B.CID = C.CID
WHERE
    A.STATUS = 'OK'
GROUP BY
    A.AID
) ABC
ON B.AID = ABC.AID
AND C.CREATIONTIME = ABC.CREATIONTIME
Results in the following
CID
-----------
3
4
5
EDIT 2:
In response to your comment about each of the statements giving different results, I have ran some of the different answers here through SQL Server 2005 using my test data above (I appreciate you are using Oracle). Here are the results
--Expected results for CIDs would be
--CID
-----------
--3
--4
--5
--As indicated in the comments next to the insert statements
DECLARE @A TABLE(AID INT IDENTITY(1,1), STATUS VARCHAR(10))
DECLARE @B TABLE(BID INT IDENTITY(1,1), AID INT, CID INT)
DECLARE @C TABLE(CID INT IDENTITY(1,1), CREATIONTIME DATETIME)
INSERT INTO @A VALUES ('OK') -- AID 1
INSERT INTO @A VALUES ('OK') -- AID 2
INSERT INTO @A VALUES ('NOT OK')
INSERT INTO @A VALUES ('OK') -- AID 4
INSERT INTO @A VALUES ('NOT OK')
INSERT INTO @C VALUES ('10 MAR 2008')
INSERT INTO @C VALUES ('13 MAR 2008')
INSERT INTO @C VALUES ('15 MAR 2008')
INSERT INTO @C VALUES ('17 MAR 2008')
INSERT INTO @C VALUES ('21 MAR 2008')
INSERT INTO @B VALUES (1,1)
INSERT INTO @B VALUES (1,2)
INSERT INTO @B VALUES (1,3) -- Will be CID 3 For AID 1
INSERT INTO @B VALUES (2,2)
INSERT INTO @B VALUES (2,3)
INSERT INTO @B VALUES (2,4) -- Will be CID 4 For AID 2
INSERT INTO @B VALUES (3,3)
INSERT INTO @B VALUES (3,4)
INSERT INTO @B VALUES (3,5)
INSERT INTO @B VALUES (4,5) -- Will be CID 5 FOR AID 4
INSERT INTO @B VALUES (4,1)
INSERT INTO @B VALUES (4,2)
-- Russ Cam
SELECT C.CID, ABC.CREATIONTIME
FROM 
@C C
INNER JOIN
@B B
ON 
C.CID = B.CID
INNER JOIN
(
SELECT
    MAX(C.CREATIONTIME) CREATIONTIME,
    A.AID
FROM
    @A A
INNER JOIN
    @B B
    ON 
    A.AID = B.AID
INNER JOIN
    @C C
    ON 
    B.CID = C.CID
WHERE
    A.STATUS = 'OK'
GROUP BY
    A.AID
) ABC
ON B.AID = ABC.AID
AND C.CREATIONTIME = ABC.CREATIONTIME
-- Tyrannosaurs
select   A.AID,  
         max(AggC.CREATIONTIME)  
from    @A A,  
         @B B,  
         (  select  C.CID,  
             max(C.CREATIONTIME) CREATIONTIME  
      from @C C  
      group by CID
       ) AggC  
where    A.AID = B.AID  
and    B.CID = AggC.CID  
and    A.Status = 'OK'  
group by A.AID
-- jmucchiello
SELECT c.cid, max(c.creationtime)
FROM @B b, @C c
WHERE b.cid = c.cid
 AND b.aid IN (SELECT a.aid FROM @A a WHERE status = 'OK')
GROUP BY c.cid
-- hainstech
SELECT agg.aid, agg.cid
FROM (
    SELECT a.aid
        ,c.cid
        ,max(c.creationtime) as maxcCreationTime
    FROM @C c INNER JOIN @B b ON b.cid = c.cid
        INNER JOIN @A a on a.aid = b.aid
    WHERE a.status = 'OK'
    GROUP BY a.aid, c.cid
) as agg
--chris
SELECT A.AID, C.CID, C.CREATIONTIME
FROM @A A, @B B, @C C
WHERE A.STATUS = 'OK'
AND A.AID = B.AID
AND B.CID = C.CID
AND C.CREATIONTIME = 
(SELECT MAX(C2.CREATIONTIME) 
FROM @C C2, @B B2 
WHERE B2.AID = A.AID
AND C2.CID = B2.CID);
the results are as follows
--Russ Cam - Correct CIDs (I have added in the CREATIONTIME for reference)
CID         CREATIONTIME
----------- -----------------------
3           2008-03-15 00:00:00.000
4           2008-03-17 00:00:00.000
5           2008-03-21 00:00:00.000
--Tyrannosaurs - No CIDs in the resultset
AID         
----------- -----------------------
1           2008-03-15 00:00:00.000
2           2008-03-17 00:00:00.000
4           2008-03-21 00:00:00.000
--jmucchiello - Incorrect CIDs in the resultset
cid         
----------- -----------------------
1           2008-03-10 00:00:00.000
2           2008-03-13 00:00:00.000
3           2008-03-15 00:00:00.000
4           2008-03-17 00:00:00.000
5           2008-03-21 00:00:00.000
--hainstech - Too many CIDs in the resultset, which CID has the MAX(CREATIONTIME) for each AID?
aid         cid
----------- -----------
1           1
1           2
1           3
2           2
2           3
2           4
4           1
4           2
4           5
--chris - Correct CIDs, it is the same SQL as mine
AID         CID         CREATIONTIME
----------- ----------- -----------------------
1           3           2008-03-15 00:00:00.000
2           4           2008-03-17 00:00:00.000
4           5           2008-03-21 00:00:00.000
I would recommend running each of the given answers against a smaller number of records, so that you can ascertain whether the resultset returned is the expected one.