Anything obvious I should be looking for? Initial look at the house and no smells, and assured that the tank is "serviced and emptied" once a year.
Type and Construction of Tank would be my first question. Old brick built or the fibreglass 'Onion' shaped type are more likely to be unfit for purpose going forward. These offer very basic treatment of the effluent, relying on the solids to settle out, and regular emptying is vital to prevent high concentrations of suspended solids leaving the tank in the clarified effluent, and blocking the Leachfield/soakaway.
Remember, nigh on every drop of liquid going into the tank, needs to go back out of the tank, it's the solids that need to remain. Blocked soakaway/leachfield will be expensive to repair/replace and tank will need constant emptying by a Licenced Contractor to prevent overflowing until fixed.
Safety is another concern, Children/Animals, will they be safe? Anyone/anything falling into a septic tank stands a very real chance of not coming back out alive. Not only the risk of drowning, but poisonous gases can be present, which will kill in seconds if inhaled in too high a concentration.
Anything with a power supply, e.g. the Klargester Biodisc, or something with a small compressor, pumping air into the tank is much more modern and may need very little in terms of an upgrade. If one of these modern versions needs to be installed to replace an existing tank no longer fit for purpose, be mindful, suck work is not going to come cheaply.
The modern systems though will not stand as much abuse, they do need regular servicing and emptying to ensure continued service and adequate treatment of the effluent. Factor cost of this into the annual budget.