Or a bit or rag goes down into the manifold. For cleaning it on the car, I'd disconnect the battery (thereby preventing any freak combination of circumstances which might cause the ECU to drive the throttle plate closed while your finger's in there), put a glove on, get a cloth that isn't going to shed fibres, soak it in cleaner and rub the sides and the plate.
The area below the plate is much easier to thoroughly clean from below. The edges of the plate near the pivots are easily done with a toothbrush but from above you'd only get to see two of the four.
I had the vac tube between the inlet manifold nipple (the one with two tubes from it) to the fuel pressure regulator pop off. Idle speed became 1200. Not as high as yours but I'd be looking for leaking vacuum tubes. The other common issue is the o-ring around the top of the TB, which gets distorted/crushed and lets air in or out depending on boost or otherwise.
Doug