In a bowl, combine lime juice, honey and salt. Put the avocado and papaya in this dressing, mix gently, set aside.
Heat the electric grill or grill pan to medium-high temperature.
On each of 8 wooden skewers, string 3 shrimps, brush with oil, sprinkle with salt and pepper. Grease the grill rack or grill pan, put the shrimps, fry for about 2 minutes on each side.