Click noise when driving

If it's shifting normally, you might be hearing some shift solenoids clicking rapidly to soften the engagement into different gears so the shifts aren't so harsh. That is normal, but if you haven't heard that before, you might look for a missing sound shield, usually made from foam rubber. The clue I'm going by is your observation that it's coming from the driver's side. An additional clue to look for is that it will occur for usually not more than one or two seconds at a time, and you'll hear it when you shift into drive or reverse.

If the noise doesn't seem to coincide with the transmission shifting into any one gear, figure out if you ever hear the noise while in park. That would allow you to stand under the hood and listen for the location.

There is a tool you might be able to borrow or rent from an auto parts store that borrows them called the "Chassis Ear". It is a set of six microphones, a switch box, and headphones. You clip the microphones to suspect points, then drive around while listening with the headphones. You can move the microphones around to zero in on the source of the noise. Be aware that many mechanics have never seen or even heard of this tool. Suspension and alignment mechanics use it to find rattles, squeaks, and other noises.

If you think the noise coming from outside, consider those Chassis Ears. If it is coming from inside, one thing you might look at is where the steering shaft goes through the firewall. There is a rubber seal around it that can get dry and cause a squeak. It doesn't quite sound like that's what you're describing but it's worth considering. Some older Chryslers had that problem and the fix was to simply use a hook to pull the seal back a little and spray some "Spray White Lube" in there. Almost any type of grease will work but that Spray White Lube stays where you put it.

GM does have a real big problem with their power steering pumps, but what you described doesn't really sound like that either. I'm more inclined to suspect a warped left front brake rotor that is making the caliper walk back and forth. That will make the pads catch on grooves that are worn into their mounting surface from rust. They will click when they snap free. That typically makes a louder clicking noise when braking but you will hear it too when not braking. To find that, jack the front wheels off the ground and run the car in gear, then listen next to each front wheel. If that is real bad, you will even SEE the caliper moving sideways a little.