So Jackson has two very good reasons to get rid of Holly, and getting rid of Cliff may only guarantee he’s around long enough to be heartbroken in the finale.
Remember, Jackson: this is chess, not checkers.
Assuming Holly’s talk of she and Jackson going their separate ways after Big Brother isn’t just an elaborate ruse to maintain they “don’t have a final 2,” Jackson may be better served to get her out of the running, especially at a point in the competition where he doesn’t really need a partner to get to the final stage of the competition.