In a mixing bowl, combine the drained chickpeas and the avocado.
Use a fork or potato masher to mash the chickpeas and avocado together until mostly smooth, leaving some chunks for texture.
Add the halved cherry tomatoes, chopped red onion, cilantro, and lime juice to the bowl. Season with salt and pepper to taste. Mix everything thoroughly until well combined.
Lay out the large wraps or tortillas on a clean surface.
Place ¼ of the chickpea and avocado mixture in the center of each wrap.
Top with a handful of baby spinach or mixed greens.
Fold the sides of the wrap in and then roll from the bottom to the top to enclose the filling securely.
Slice the wraps in half diagonally and serve immediately.
For added flavor, you can include a drizzle of olive oil or your favorite hot sauce before rolling up the wraps.
These wraps can be made ahead of time; just store them in the refrigerator wrapped in parchment paper to keep them fresh.