Looking at the picture what the car is a built in 1979 but is for the 1980 Model year. The interior, dash and wheels are correct for a TCT TR7 which it most likely would be. The check interiors appeared late 1979 sometime around September/October with black dashboards and then full check with gray dashboards in November 1979 onwards. The steel wheels on the car have trim rings which came on the 30th anniversary edition TR7s that could have had a TR8 steering wheel, trim rings, special centercaps, AM/FM radio, luggage rack, striping kit, fog lamps and a dash plaque. Anyone could have put put trim rings on the car. Now there is a change in the rear axles in 1979 from the 3.90 to the 3.45 ratios. The tell tale sign is unless a previous owner changed it is the car will have a double bulge hood/bonnet with the black dash. The deal with the rims that a TR7 could have had TR8 alloys applied by the dealer or dilevered by the factory, no tracability on that, steel wheels with trim rings and center caps (30th Anniversary), Full size plastic covers or dealer installed alloy/magnesium rims (Shelby or Wolf Race).
Things to look out for:
Mechanicals-if the head was ever replaced or repaired. Timing chain issues, Zenith Carbs automatic chokes. Coolant leaks or staining. Transmission fluid or clutch if crunching into 2nd or 3rd at high rpms.
Body Rust-Shock tower, floor to lower control arms, bottom of front lower fenders (ahead of the wheels), rear lower fenders (Black part), Battery Tray, spare tire well, rocker panels. I would also look for crash damage.
Suspension-worn/split bushings for rear lower control arms, soft/sagging springs, blown shocks.
Spit hoses for the gas vents and if any the wiring looks like it has been messed with make sure check all the swtiches while the car is running and shut off: hazards, turn signals, dash and marker lights, highbeams low beams, both headlights go up and down, horns, alternator charging. The car should run between 1/4 and 1/2 max on the gauge warmed up. The rear brakes unless used often will either freeze up or leak so look for fluid leaks on the back side of the rear drums.
I hope it works out & good luck!