Make the lime aioli by mixing together the eggs, lime zest and juice, salt, and garlic in a food processor. With the machine running slowly stream in olive oil until the mixture thickens to a mayo like consistency.
Season the pork roast with the Jamaican jerk seasoning and the thyme. Place in the slow cooker. Cook over low heat for 8 hours.
Remove from the slow cooker and shred the pork. Squeeze on the juice of 1-2 limes (to taste) and if desired add a little of the cooking liquid.
If making tacos, serve with warmed flour tortillas, lime aioli, mango, red onion and lettuce.
Save the leftovers for sandwiches, pizza, or quesadillas.