Cutthroat – Houston, Texas. The Wet Shave Club helps you find a wet shave barber near you. Traditional Wet Shave Barbers will use a straight razor or a safety razor. You know you have found a quality wet shave barber when they break out the hot towels, and when they start whipping up a great lather with their shave soap and shave brush. So to find a wet shave barber near you, just check out our Wet Shave Barber Locator.Welcome to Cutthroat, a nostalgic barber shop experience in the heart of Houston, TX. Our skilled professionals specialize in men’s haircuts, straight razor shaves, and beard grooming.