In a small blender jar, blend together vinegar, chipotle chili, garlic, cumin, oregano, salt, chile powder, ground cloves, and water.
In the Instant Pot, combine the beef roast pieces and the blended ingredients.
Secure the lid on the pot. Close the pressure-release valve. Select MANUAL/HIGH PRESSURE and set the pot at HIGH pressure for 30 minutes. When cook time is complete, let pot release pressure naturally for 10 minutes, and then release all remaining pressure.
Remove the beef to a cutting board. Using two forks, shred the beef. Add it back to the Instant Pot. Stir in lime juice and serve.