About us. Fall River Veterinary Clinic is a small business in Hot Springs, SD. We offer a challenging, rewarding and fast-paced environment. Our goal is to provide top-notch care to our patients and clients, while maintaining our small town hospitality. Our work environment includes. On-the-job training. Modern office setting. Lively atmosphere. Casual dress code. A fun group of co-workers that likes to work hard, but play hard too. Fall River Ve...