Sounds like propolis. You should be able to get away with isopropyl alcohol or at a push meths, on a soft rag, on your camera. I take my gloves off to use camera.
Cotton buds dipped in the alcohol might help.
Don't get any solvent (or gunge) into any moving (or electrical) part ...
Sellotape is quite good at taking sticky stuff off many surfaces. Stick it on the stickies, then peel it off slowly. (Haven't tried with prop on camera .. yet!)
Repeat until clean, bored or run out of sellotape!
Use clear Sellotape, not brown parcel tape unless you want to make it worse!
Regarding the gloves. Hopefully they are washable. Put them on and 'wash your hands' with washing soda mixed into water. A stainless 'steel wool' pot scourer may be as helpful a scrubber on the gloves as it is on a hive tool. Dry your gloves slowly.
Because its so hard to clean leather gloves completely, many apiaries don't like (allow) visitors using them.
One solution is to use disposable (decorators type) nitrile gloves OVER the leather ones. It keeps the leather clean and prevents the 'germs' on them contacting other people's bees.
But not using leather gloves is advice that you WILL be given!