suspenders
Narrow straps of adjustable length that are often elasticized; they cross in the back, go over the shoulders and fasten to the pants to keep them in place.
leather end 
Usually leather strip used to button the elastic strap to the pants.
adjustment slide 
Flat ring attached to the elastic strap; it can be moved up or down to adjust the length.
elastic webbing 
Narrow strip of stretchable sturdy material.
suspender clip 
Fastening system made up of two hinged tabs; it can replace the leather end on suspenders.