In small bowl, blend oil, lime peel, juice, brown sugar, fish sauce and jalapeño pepper. Set aside.
Peel and section oranges. Add jicama and cilantro or basil to orange pieces. Add dressing mixture; toss to coat. Cover and chill 30 minutes to 1 hour before serving.
*Chill time extra
** Use caution when handling hot peppers. Wear disposable gloves or wash hands thoroughly in hot, soapy water.
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