The phrase 'caught between two stools' means that a mission or task has not been executed, due to not being able to pick between two options.
Example of use: "This course is too difficult for beginners, but too simple for a knowledge student. It's caught between two stools"
This is a very old phrase. It was first spotted in John Gower's Confessio Amantis, 1390: "Bot it is seid - Betwen tuo Stoles lyth the fal..."