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Trim and cut pork into 1 inch cubes.
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In large bowl, whisk together lemon juice, oil, garlic, oregano, salt and pepper.
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Add pork and stir to coat.
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Marinate for 10 minutes (make ahead: cover and refrigerate for up to 24 hours).
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evenly thread pork onto six 8 inch skewers; place on foil lined baking sheet.
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Brush with marinade.
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Broil 6 inches away from heat, turning halfway through, until just a hint of pink remains inside, about 12 minutes.
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Spread tzatziki over each pita.
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Remove pork from skewers and place on pitas; fold over.