Thickets rhymes with:
chicots, cricket's, crickets, pickets, ticket's, tickets, wickets, achatz, advocate's, advocates, affricates, baskets, biscuits, blankets, brackets, buckets, caskets, certificates, chicots, circuit's, circuits, connecticut's, cricket's, crickets, dockets, gaskets, lockett's, market's, markets, microcircuits, pickets, pickpockets, pockets, rackets, rocket's, rockets, silicates, skyrockets, sockets, supermarket's, syndicate's, ticket's, tickets, trinkets, wastebaskets, wickets
Thickets sounds like:
tactic, tactics, takeshita's, taoists, tastes, test's, testes, tests, tests', texts, thoughts, ticket's, tickets, tights, toasts, toussaud's, tsetse, tuesday's, tuesdays, tussaud's, tuxedos, twists