Hmmm......if I understand you correctly...when warmed up after driving and then shut down, on the restart the starter momentarily engages and cranks, then stops, then starts again and then the motor fires up? This would indicate three possibilities. One....verify that all battery cable connections are clean, dry, and tight, and that the battery is good and the charging system is working properly, hopefully this solves the problem. Two...the starter solenoid has high resistance when hot and needs replaced. And Three....the starter is suffering from "heat soak" and needs an overhaul or replaced. My bet is it's number one or two. You can get solenoids through the aftermarket and dont need to go to the dealer for it. As "enjoythemusic" says 308s and TRs did suffer the same thing and it is almost always the solenoid. So check that out and keep us posted.