At the place where the tranny is - the thing that pushes it vibrates and makes a really annoying noise. If I hold the thing from vibrating - no noise.

I don't know if you understand which part I'm talking about... but it's the flap that disengages the clutch

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The pin just vibrates and makes a noise when the car heats up usually.

Anything I could put on there? Some grease/oil?

 

I do not understand what you are talking about.

 

You talking about the clutch fork?

 

hmm.. I'm not sure what the clutch fork is.. but its the "flap" which physically disconnects the clutch...

When you push the clutch pedal down, a rod pushed the flap...
and at the place where they meet, its making the noise.