There's not much to the A383 really. Originally it started inside Newton Abbot but it appears to have taken over a bit of the A381 from its junction with the A380 (Ware Barton Junction) into the middle of town. Then it multiplexes with the A382 up to a roundabout.
The road then heads off westwards and soon leaves town. It goes over a few hills before unexpectedly terminating, like so many roads in the A380s, on the A38Devon Expressway, although there are sliproads only to and from the Plymouth direction. The unclassified road ahead, leading to Dartmoor via Ashburton Down, is fun to drive on, but that's another story.