Step 1: Seed and fruit dispersal mechanisms all end in the suffix '-chory'. Barochory means dispersal by gravity, blastochory is dispersal by vegetative shoots or runners, and herpochory refers to a creeping type of dispersal along the ground.
Step 2: Chicory is the common name of the plant Cichorium intybus, used for coffee substitutes and salad greens. It is a plant name, not a dispersal mechanism, and only sounds similar to the '-chory' terms.
Step 3: So chicory is the one unrelated to seed dispersal.