Wooden sticks used to strike drums; also the lower part of a chicken or turkey leg.
From 'drum' (unknown origin, possibly from Dutch 'tromme') plus 'stick.' The food meaning comes from the shape resembling the stick used to play drums.
Chicken drumsticks aren't named after drum sticks—it's the other way around: people called the drum-playing sticks 'drumsticks' because they looked like chicken legs, then the meat got the name from the tool.
Complete word intelligence in one call. Free tier — 50 lookups/day.