CREATE TABLE testaccount
(
request VARCHAR2 (2048 BYTE) NOT NULL,
response1 CLOB,
response2 CLOB,
CONSTRAINT pk_testaccount PRIMARY KEY (request),
constraint one_must_be_there check (not (response1 is null and response2 is null))
);
This will however allow both to be not null as well. It's not clear from your question if you also want to prohibit that as well.
To make sure only one of the columns is filled (and the other is NULL) you can use this:
CREATE TABLE testaccount
(
request VARCHAR2 (2048 BYTE) NOT NULL,
response1 integer,
response2 integer,
CONSTRAINT pk_testaccount PRIMARY KEY (request),
constraint one_must_be_there check
( (response1 is null and response2 is not null) or
(response1 is not null and response2 is null))
);