I worked in a Low T Clinic for about 8 months. Here are the basics: Good money (90-150K depending on how busy the clinic is), but they will probably expect you to work up to 55hrs/week. In the busy clinics you may see 50-70 patients/day, but the visits are very brief, so it's more doable than it may sound. You treat one thing and one thing only, so you get really good at treating low test, but it gets a little monotonous after a while, but there is some pleasure in not fretting over diagnoses/missed diagnoses and the simplicity of it all. Your title will be "clinic director" but don't be fooled, you may be in charge of day to day operation of the clinic, but you are still very much an employee, and there is a very structured protocol on how things are to be done. The company is owned by a business man, not a medical professional, and it is evident in the way the company is run.
On the medical side: testosterone has a certain reputation, and it isn't always positive in the medical community. But I have personally seen it change men's lives. Some guys will come in dragging, desperate for answers on why they feel like they do. Then after a few months they feel like a different person. It can be very satisfying work. They have a very structured protocol, and it follows recommendations by professional societies. They do not jack up the testo levels to unsafe levels.
Conclusion: If you are feeling burned out by your current job, Low T center may be a good change of pace for a couple years, but don't expect it to be a lifelong career.