Stuck with two. 4D Branch of Islam that rejectsfirst three caliphs and regards Ali as Mohammed's successor S-I-S- Also 5D green, leathery-skinned Caribbean fruit of tree melicoca bijuga. Is it...
Problem with 25a Long-legged spotted cat of Africa and parts of Asia that is the swiftest mammal (alt sp)(6) Which is alt sp to Cheetah, KHETAH or CHETAH ?
29D "An educated and well read elite" looks like LITERATI but this does not fit with 35A "Set about gaining recognition for oneself, especially when done without regard for the feelings of others"...