JP, it might be piston slap, due to a worn piston or cyliner. It goes away as the piston warms up and expands. Pressing the clutch moves the crankshaft forward a little bit, this may be enough to reduce/eliminate the slap, too.
I don't think a bit of piston slap is a terrible thing, unless it continues when the engine is warmed up.
It may be possible to check this out by pulling the plug wires one at a time while the engine idles. If it's piston slap, the noise should decrease or disappear when the plug wire is pulled on the affected cylinder. If you do this, avoid getting shocked by insulating your hand well, or using insulated plug boot pliers. Ignition system shocks are nasty.
Hoping I'm wrong, good luck!
George Davis
'69 280 SL Euro manual