I have a 2014, base model, 2LT, manual transmission Corvette with 36,000 miles, and have been experiencing an very intermittent clutch problem for about the last 10,000 miles. The car is a daily driver and some days I get a short high pitch groan just as I let out the clutch to start up in first gear (also sometimes shifting to second). On the days it decides to make the little groan it is fairly consistent, but if I drive for more than about 15 minutes, it goes away and does not happen again. It will also occasionally make the same noise as I let out the clutch in a down shift. It is so intermittent that it is not very likely that I would be able to demonstrate it to my dealer, especially since he is more than a 15 minutes drive away. I can not find any correlation to any particular driving condition, only that it occurs as the clutch is engaging. Just this week, it happened consistently while running errands on Monday, but did not happen at all on two short driving trips on Tuesday. In August, we did a 6050 mile driving trip out West and never once experienced the problem. Before the trip West, I discussed the problem with the service manager at my dealer but he had not heard of any similar issue. Of course I could not reproduce the noise for him but he did make a note in my service record of my complaint and my mileage at that time. I would certainly be interested if anyone has ideas what might be going on. Otherwise, the car runs fine, it just decides to put out that little groan when it feels like it.
Just read this post. I to have the groan. Did you find a solution. I found that if you shift into first gear using the roll method, meaning lift the clutch slowly with NO gas, once you start rolling then let up on the clutch then give it gas then you will never get the groan. So I thing that eliminates the Clutch from being the problem. More like the drive line.