The process for quantum teleportation ends with two fixup operations, applied by Bob, conditional on the respective results of two measurements done by Alice.
Sometimes, when you read about experimental demonstrations of quantum teleportation, you find that the experimenters just skipped the fixup operations. Instead, they throw out the 3/4 of ruined runs where fixup operations were needed and focus on the remaining 1/4. Call this 'post-selected quantum teleportation'. I usually find post-selected quantum teleportation protocols a bit silly, since they're basically useless for most communication tasks. You only see effects after the fact, when cherry-picking. In the moment all Bobs get is useless noise.
But that's a bit unfair. At least, unlike with noise, Alice can tell if Bob ends up with the right state or not. And you can do useful things with just "it worked" information, like gradually building up entanglement. (Another example: it's how one of the 'loophole-free' Bell test experiments was done.)
Which raises the question: suppose Alice and Bob are doing quantum teleportation, but are only told which runs were ruined and which worked. Alice doesn't get to see both fixup-determining measurement results $x$ and $y$, she's only given $z = x \lor y$. Can they still communicate?
Using heralded 25%-success-rate teleportation, can Alice send quantum information to Bob?