In a large mixing bowl, combine the cabbage, cucumber, jalapeño, onion, cilantro, and lime zest.
In a small bowl, combine the mayonnaise and all the lime juice. Stir to combine and make the dressing.
Pour the dressing over the cabbage mixture and toss to coat well. Season to taste with salt and pepper.
*Note: For optimal taste, make ahead of time to allow the flavors to meld. This can also be made a day in advance as the cabbage holds up well. If you’d like more spice, you can add another jalapeño.