I tracked it down once, most noise on a bench is due to AC hum from the line cords. I monitor current flow on my ESD mat, and was surprised to see it all over the place, in a uA kind of way. Once a mains cord rests on an ESD mat, capacitive coupling (into the usual 1MEG resistor) adds several volts of hum to the worksurface.
For bench multimeters, some have Y-capacitors or at least the power transformer's winding capacitance, to earth-ground. Cheap ones have capacitance pri-sec which adds hum. Some (better quality) bench multimeter power xfmr have the electrostatic shield, others do not.
Point is you need to know how the particular bench multimeter floats, where the leakage is to mains or GND or something noisy in the Inguard portion.
Rarely you can find shielded IEC mains cords which do help a lot.
edit: it's also cell phones with RF TX bursts causing regular beeps and jumps as EMI. A WiFi router, laptop with Wifi/Bluetooth, cordless phone - these are also sources of nearby RF.
People walk up to me (with phone in pocket) in the lab, and suddenly I'm getting crap on the scope. Grr.
LED workbench lighting is also a source of EMI, I've used grounded wire mesh on ceiling diffusers to stop that, fluorescent lamps are pretty bad as well.
At university, the EE building elevator VFD made so much noise it screwed up all the students lol their circuits acted up mysteriously every time it was running.
An electrically quiet lab is a bit of work.