I have a hot water heater that has started going out on it't own, sometimes every other day and other times every day. It is a gas system and will light right back up when I follow the relighting procedures. It was made in 2007 by US/Craftmaster hot water company, model number FG1F4034T3NOV, so thermocouple?

Most likely the combustion air inlet is partially plugged with dust, etc. I am not familiar with that exact brand. I would suggest contacting the manufacturer of the water heaters tech support and see what they have to say. It may be a thermocouple issue, however, In my experience a thermocouple is either good or bad, no in between.