Steam the cauliflower florets until tender, about 10 minutes. Alternatively, boil the cauliflower if preferred.
Allow the steamed cauliflower to cool slightly.
Transfer the cooled cauliflower to a blender or food processor. Add the coconut cream, olive oil, apple cider vinegar, and sea salt. Blend until smooth and creamy. Stop and scrape down the sides of the blender if needed. Adjust seasoning to taste. Set aside.
In a large mixing bowl, combine the drained and rinsed chickpeas, diced cucumber, diced red onion, and finely chopped parsley. Add the unsweetened coconut flakes.
In a small bowl, whisk together the olive oil, lemon juice, honey or maple syrup, and sea salt. If using black pepper, add it to the vinaigrette. (Omit if following strict AIP guidelines.)
Pour the lemon vinaigrette over the chickpea mixture in the large bowl. Toss gently to coat all ingredients evenly.
Spoon the cauliflower-based cheese into the bowl with the salad. Gently fold the cheese into the salad until well combined, being careful not to overmix.
Taste the salad and adjust the seasoning with additional sea salt or honey/maple syrup if needed. Serve chilled or at room temperature. Garnish with additional parsley or coconut flakes if desired.