For the salad: Peel the avocados, cut into 1-inch chunks and put all but 2 chunks into a large mixing bowl for the salad. Put the remaining 2 chunks into a small mixing bowl and set aside for the dressing.
Add the parsley, cucumber and onion to the avocado chunks in the large mixing bowl. Sprinkle generously with salt and pepper.
For the dressing: Mash the reserved 2 chunks of avocado with a fork until smooth. Add the oil, honey, cumin and lime juice and whisk until smooth.
Pour the dressing over the avocado salad and gently toss with your hands to combine. Serve immediately.